136890252576 has 648 divisors, whose sum is σ = 516727031184. Its totient is φ = 33989598720.

The previous prime is 136890252571. The next prime is 136890252589. The reversal of 136890252576 is 675252098631.

136890252576 is a `hidden beast` number, since 1 + 3 + 68 + 9 + 0 + 2 + 5 + 2 + 576 = 666.

It is not an unprimeable number, because it can be changed into a prime (136890252571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 82116895 + ... + 82118561.

It is an arithmetic number, because the mean of its divisors is an integer number (797418258).

Almost surely, 2^136890252576 is an apocalyptic number.

136890252576 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 136890252576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258363515592).

136890252576 is an abundant number, since it is smaller than the sum of its proper divisors (379836778608).

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

136890252576 is a wasteful number, since it uses less digits than its factorization.

136890252576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 136890252576 in words is "one hundred thirty-six billion, eight hundred ninety million, two hundred fifty-two thousand, five hundred seventy-six".