136257617401920 has 504 divisors, whose sum is σ = 559921689998424. Its totient is φ = 30302851203072.

The previous prime is 136257617401859. The next prime is 136257617401933. The reversal of 136257617401920 is 29104716752631.

136257617401920 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 5 + 7 + 617 + 4 + 0 + 19 + 2 + 0 = 666.

136257617401920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32143184894016 + 104114432507904 = 5669496^2 + 10203648^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×136257617401920³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 7826457 + ... + 18269336.

Almost surely, 2^{136257617401920} is an apocalyptic number.

136257617401920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136257617401920 is an abundant number, since it is smaller than the sum of its proper divisors (423664072596504).

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

136257617401920 is a wasteful number, since it uses less digits than its factorization.

136257617401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26095867 (or 26095847 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 136257617401920 in words is "one hundred thirty-six trillion, two hundred fifty-seven billion, six hundred seventeen million, four hundred one thousand, nine hundred twenty".