135042031154520 has 192 divisors, whose sum is σ = 511821109800000. Its totient is φ = 30866749949952.

The previous prime is 135042031154467. The next prime is 135042031154549. The reversal of 135042031154520 is 25451130240531.

135042031154520 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 420 + 31 + 154 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 546693945 + ... + 546940904.

It is an arithmetic number, because the mean of its divisors is an integer number (2665734946875).

Almost surely, 2^{135042031154520} is an apocalyptic number.

135042031154520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135042031154520 is an abundant number, since it is smaller than the sum of its proper divisors (376779078645480).

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

135042031154520 is a wasteful number, since it uses less digits than its factorization.

135042031154520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093634887 (or 1093634866 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 135042031154520 in words is "one hundred thirty-five trillion, forty-two billion, thirty-one million, one hundred fifty-four thousand, five hundred twenty".