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134233115652 = 223343139207947
BaseRepresentation
bin111110100000011101…
…0101100110000000100
3110211110221021210122000
41331000322230300010
54144402134200102
6141355453305300
712461264441256
oct1750072546004
9424427253560
10134233115652
1151a23104619
1222022495230
13c872ba66ac
1466d5781cd6
1537597d501c
hex1f40eacc04

134233115652 has 96 divisors (see below), whose sum is σ = 358668710400. Its totient is φ = 43389180576.

The previous prime is 134233115617. The next prime is 134233115669. The reversal of 134233115652 is 256511332431.

134233115652 is a `hidden beast` number, since 1 + 3 + 423 + 31 + 156 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541543 + ... + 749489.

It is an arithmetic number, because the mean of its divisors is an integer number (3736132400).

Almost surely, 2134233115652 is an apocalyptic number.

134233115652 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 134233115652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179334355200).

134233115652 is an abundant number, since it is smaller than the sum of its proper divisors (224435594748).

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

134233115652 is a wasteful number, since it uses less digits than its factorization.

134233115652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208142 (or 208134 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 134233115652 in words is "one hundred thirty-four billion, two hundred thirty-three million, one hundred fifteen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 139 172 258 278 387 417 516 556 774 834 1161 1251 1548 1668 2322 2502 3753 4644 5004 5977 7506 11954 15012 17931 23908 35862 53793 71724 107586 161379 207947 215172 322758 415894 623841 645516 831788 1247682 1871523 2495364 3743046 5614569 7486092 8941721 11229138 17883442 22458276 26825163 28904633 35766884 53650326 57809266 80475489 86713899 107300652 115618532 160950978 173427798 241426467 260141697 321901956 346855596 482852934 520283394 780425091 965705868 1040566788 1242899219 1560850182 2485798438 3121700364 3728697657 4971596876 7457395314 11186092971 14914790628 22372185942 33558278913 44744371884 67116557826 134233115652