136531513008900 has 243 divisors, whose sum is σ = 437302271071029. Its totient is φ = 35629456628160.

The previous prime is 136531513008859. The next prime is 136531513008923. The reversal of 136531513008900 is 9800315135631.

The square root of 136531513008900 is 11684670.

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

136531513008900 is a `hidden beast` number, since 1 + 3 + 6 + 53 + 1 + 513 + 0 + 0 + 89 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49151344683204 + 87380168325696 = 7010802^2 + 9347736^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16475380557 + ... + 16475388843.

Almost surely, 2^{136531513008900} is an apocalyptic number.

136531513008900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136531513008900 is the 11684670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136531513008900

136531513008900 is an abundant number, since it is smaller than the sum of its proper divisors (300770758062129).

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

136531513008900 is an frugal number, since it uses more digits than its factorization.

136531513008900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16688 (or 8344 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 136531513008900 in words is "one hundred thirty-six trillion, five hundred thirty-one billion, five hundred thirteen million, eight thousand, nine hundred".