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133770990558132 = 2232191307686321803
BaseRepresentation
bin11110011010100111111100…
…010111111001101110110100
3122112122101022100000222010200
4132122213330113321232310
5120013200442040330012
61152301313352520500
740114430564446404
oct3632477427715664
9575571270028120
10133770990558132
1139694a5a849654
121300586a0b0130
13598471cc7c025
14250679c782804
15106ea5541e3dc
hex79a9fc5f9bb4

133770990558132 has 144 divisors (see below), whose sum is σ = 356280932367360. Its totient is φ = 42203063479104.

The previous prime is 133770990558119. The next prime is 133770990558167. The reversal of 133770990558132 is 231855099077331.

133770990558132 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 70 + 9 + 9 + 0 + 558 + 1 + 3 + 2 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 133770990558132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6135428743 + ... + 6135450545.

It is an arithmetic number, because the mean of its divisors is an integer number (2474173141440).

Almost surely, 2133770990558132 is an apocalyptic number.

133770990558132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133770990558132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178140466183680).

133770990558132 is an abundant number, since it is smaller than the sum of its proper divisors (222509941809228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133770990558132 is a wasteful number, since it uses less digits than its factorization.

133770990558132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30002 (or 29997 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 133770990558132 in words is "one hundred thirty-three trillion, seven hundred seventy billion, nine hundred ninety million, five hundred fifty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1307 2614 3921 5228 6863 7842 11763 13726 15684 20589 21803 23526 24833 27452 41178 43606 47052 49666 61767 65409 74499 82356 87212 99332 123534 130397 130818 148998 196227 223497 247068 260794 261636 297996 391191 392454 414257 446994 521588 782382 784908 828514 893988 1173573 1242771 1564764 1657028 2347146 2485542 3728313 4694292 4971084 7456626 8969941 14913252 17939882 26909823 28496521 35879764 53819646 56993042 80729469 85489563 107639292 113986084 149633989 161458938 170428879 170979126 256468689 299267978 322917876 340857758 341958252 448901967 511286637 512937378 541433899 598535956 681715516 897803934 1022573274 1025874756 1082867798 1346705901 1533859911 1624301697 1795607868 2045146548 2165735596 2693411802 2843045791 3067719822 3248603394 4872905091 5386823604 5686091582 6135439644 6497206788 8529137373 9745810182 11372183164 17058274746 19491620364 25587412119 34116549492 51174824238 102349648476 195571623623 391143247246 586714870869 782286494492 1173429741738 1760144612607 2346859483476 3520289225214 3715860848837 7040578450428 7431721697674 11147582546511 14863443395348 22295165093022 33442747639533 44590330186044 66885495279066 133770990558132