135031556520 has 512 divisors, whose sum is σ = 538289971200. Its totient is φ = 29438982144.

The previous prime is 135031556503. The next prime is 135031556531. The reversal of 135031556520 is 25655130531.

135031556520 is a `hidden beast` number, since 1 + 3 + 50 + 3 + 1 + 556 + 52 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77027964 + ... + 77029716.

It is an arithmetic number, because the mean of its divisors is an integer number (1051347600).

Almost surely, 2^135031556520 is an apocalyptic number.

135031556520 is a gapful number since it is divisible by the number (10) 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 135031556520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269144985600).

135031556520 is an abundant number, since it is smaller than the sum of its proper divisors (403258414680).

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

135031556520 is a wasteful number, since it uses less digits than its factorization.

135031556520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 135031556520 in words is "one hundred thirty-five billion, thirty-one million, five hundred fifty-six thousand, five hundred twenty".