102372136256 has 448 divisors, whose sum is σ = 252918650880. Its totient is φ = 40627077120.

The previous prime is 102372136193. The next prime is 102372136267. The reversal of 102372136256 is 652631273201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1055382800 + ... + 1055382896.

It is an arithmetic number, because the mean of its divisors is an integer number (564550560).

Almost surely, 2^102372136256 is an apocalyptic number.

102372136256 is a gapful number since it is divisible by the number (16) 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 102372136256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126459325440).

102372136256 is an abundant number, since it is smaller than the sum of its proper divisors (150546514624).

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

102372136256 is a wasteful number, since it uses less digits than its factorization.

102372136256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 102372136256 in words is "one hundred two billion, three hundred seventy-two million, one hundred thirty-six thousand, two hundred fifty-six".