126938635182765 has 192 divisors, whose sum is σ = 271007569520640. Its totient is φ = 56151615744000.

The previous prime is 126938635182713. The next prime is 126938635182817. The reversal of 126938635182765 is 567281536839621.

126938635182765 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 3 + 86 + 3 + 518 + 27 + 6 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (126938635182713) and next prime (126938635182817).

It is not a de Polignac number, because 126938635182765 - 2⁸ = 126938635182509 is a prime.

It is a super-2 number, since 2×126938635182765² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126938635182693 and 126938635182702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2608607535 + ... + 2608656195.

It is an arithmetic number, because the mean of its divisors is an integer number (1411497757920).

Almost surely, 2^{126938635182765} is an apocalyptic number.

126938635182765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126938635182765 is an abundant number, since it is smaller than the sum of its proper divisors (144068934337875).

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

126938635182765 is a wasteful number, since it uses less digits than its factorization.

126938635182765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61441 (or 61428 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 126938635182765 in words is "one hundred twenty-six trillion, nine hundred thirty-eight billion, six hundred thirty-five million, one hundred eighty-two thousand, seven hundred sixty-five".