137856264100 has 81 divisors (see below), whose sum is σ = 302842736833. Its totient is φ = 54469728160.

The previous prime is 137856264089. The next prime is 137856264101. The reversal of 137856264100 is 1462658731.

The square root of 137856264100 is 371290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 49628255076 + 88228009024 = 222774^2 + 297032^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137856264101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 397280127 + ... + 397280473.

Almost surely, 2^137856264100 is an apocalyptic number.

137856264100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137856264100 is the 371290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137856264100

137856264100 is an abundant number, since it is smaller than the sum of its proper divisors (164986472733).

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

137856264100 is an equidigital number, since it uses as much as digits as its factorization.

137856264100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

It can be divided in two parts, 137856 and 264100, that added together give a square (401956 = 634²).

The spelling of 137856264100 in words is "one hundred thirty-seven billion, eight hundred fifty-six million, two hundred sixty-four thousand, one hundred".