135962914777920 has 168 divisors, whose sum is σ = 479062014467400. Its totient is φ = 35372465602560.

The previous prime is 135962914777903. The next prime is 135962914777997. The reversal of 135962914777920 is 29777419269531.

135962914777920 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 62 + 9 + 1 + 477 + 7 + 92 + 0 = 666.

135962914777920 is digitally balanced in base 4, 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 6233730601536 + 129729184176384 = 2496744^2 + 11389872^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575605645 + ... + 575841804.

It is an arithmetic number, because the mean of its divisors is an integer number (2851559609925).

Almost surely, 2^{135962914777920} is an apocalyptic number.

135962914777920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135962914777920 is an abundant number, since it is smaller than the sum of its proper divisors (343099099689480).

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

135962914777920 is a wasteful number, since it uses less digits than its factorization.

135962914777920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151447513 (or 1151447500 counting only the distinct ones).

The product of its (nonzero) digits is 360067680, while the sum is 72.

The spelling of 135962914777920 in words is "one hundred thirty-five trillion, nine hundred sixty-two billion, nine hundred fourteen million, seven hundred seventy-seven thousand, nine hundred twenty".