153135056330000 has 100 divisors (see below), whose sum is σ = 392564419721100. Its totient is φ = 57650844672000.

The previous prime is 153135056329999. The next prime is 153135056330059. The reversal of 153135056330000 is 33650531351.

It can be written as a sum of positive squares in 10 ways, for example, as 130978228263184 + 22156828066816 = 11444572^2 + 4707104^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 450227225 + ... + 450567224.

It is an arithmetic number, because the mean of its divisors is an integer number (3925644197211).

Almost surely, 2^{153135056330000} is an apocalyptic number.

153135056330000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153135056330000 is an abundant number, since it is smaller than the sum of its proper divisors (239429363391100).

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

153135056330000 is an equidigital number, since it uses as much as digits as its factorization.

153135056330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900794494 (or 900794473 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 35.

The spelling of 153135056330000 in words is "one hundred fifty-three trillion, one hundred thirty-five billion, fifty-six million, three hundred thirty thousand".