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133537032440 = 23572246727617
BaseRepresentation
bin111110001011101101…
…1010110100011111000
3110202200102111002222022
41330113123112203320
54141440440014230
6141202430014012
712435113022200
oct1742733264370
9422612432868
10133537032440
11516a619aa39
1221a69347308
13c791909036
14666b147400
1537186381e5
hex1f176d68f8

133537032440 has 96 divisors (see below), whose sum is σ = 349667079120. Its totient is φ = 45763909632.

The previous prime is 133537032373. The next prime is 133537032449. The reversal of 133537032440 is 44230735331.

It is a super-2 number, since 2×1335370324402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 133537032440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133537032449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4821512 + ... + 4849128.

Almost surely, 2133537032440 is an apocalyptic number.

133537032440 is a gapful number since it is divisible by the number (10) 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 133537032440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174833539560).

133537032440 is an abundant number, since it is smaller than the sum of its proper divisors (216130046680).

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

133537032440 is a wasteful number, since it uses less digits than its factorization.

133537032440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30109 (or 30098 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 35.

Adding to 133537032440 its reverse (44230735331), we get a palindrome (177767767771).

The spelling of 133537032440 in words is "one hundred thirty-three billion, five hundred thirty-seven million, thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 2467 4934 9868 12335 17269 19736 24670 27617 34538 49340 55234 69076 86345 98680 110468 120883 138085 138152 172690 193319 220936 241766 276170 345380 386638 483532 552340 604415 690760 773276 966595 967064 1104680 1208830 1353233 1546552 1933190 2417660 2706466 3866380 4835320 5412932 6766165 7732760 10825864 13532330 27064660 54129320 68131139 136262278 272524556 340655695 476917973 545049112 681311390 953835946 1362622780 1907671892 2384589865 2725245560 3338425811 3815343784 4769179730 6676851622 9538359460 13353703244 16692129055 19076718920 26707406488 33384258110 66768516220 133537032440