136138860900 has 405 divisors, whose sum is σ = 499801233113. Its totient is φ = 30993480000.

The previous prime is 136138860889. The next prime is 136138860917. The reversal of 136138860900 is 9068831631.

It is a happy number.

The square root of 136138860900 is 368970.

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

136138860900 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 38 + 8 + 609 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49009989924 + 87128870976 = 221382^2 + 295176^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 542385775 + ... + 542386025.

Almost surely, 2^136138860900 is an apocalyptic number.

136138860900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136138860900 is the 368970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136138860900

136138860900 is an abundant number, since it is smaller than the sum of its proper divisors (363662372213).

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

136138860900 is an equidigital number, since it uses as much as digits as its factorization.

136138860900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 136138860900 in words is "one hundred thirty-six billion, one hundred thirty-eight million, eight hundred sixty thousand, nine hundred".