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138137110596 = 223217225714233
BaseRepresentation
bin1000000010100110011…
…1010000100001000100
3111012120000100021220100
42000221213100201010
54230401100014341
6143243113404100
712660111031602
oct2005147204104
9435500307810
10138137110596
1153646885821
1222931a09630
1310045952a84
146986064872
1538d73e43b6
hex20299d0844

138137110596 has 36 divisors (see below), whose sum is σ = 369719915292. Its totient is φ = 43337132544.

The previous prime is 138137110591. The next prime is 138137110627. The reversal of 138137110596 is 695011731831.

138137110596 is a `hidden beast` number, since 1 + 38 + 13 + 7 + 1 + 10 + 596 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98828496900 + 39308613696 = 314370^2 + 198264^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1381371105962 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138137110591) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112856505 + ... + 112857728.

It is an arithmetic number, because the mean of its divisors is an integer number (10269997647).

Almost surely, 2138137110596 is an apocalyptic number.

It is an amenable number.

138137110596 is an abundant number, since it is smaller than the sum of its proper divisors (231582804696).

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

138137110596 is a wasteful number, since it uses less digits than its factorization.

138137110596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225714260 (or 225714255 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 138137110596 in words is "one hundred thirty-eight billion, one hundred thirty-seven million, one hundred ten thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 225714233 451428466 677142699 902856932 1354285398 2031428097 2708570796 3837141961 4062856194 7674283922 8125712388 11511425883 15348567844 23022851766 34534277649 46045703532 69068555298 138137110596