153135514503200 has 72 divisors (see below), whose sum is σ = 374141390332500. Its totient is φ = 61205162803200.

The previous prime is 153135514503193. The next prime is 153135514503217. The reversal of 153135514503200 is 2305415531351.

It can be written as a sum of positive squares in 6 ways, for example, as 27957994651024 + 125177519852176 = 5287532^2 + 11188276^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75629861 + ... + 77628260.

Almost surely, 2^{153135514503200} is an apocalyptic number.

153135514503200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153135514503200 is an abundant number, since it is smaller than the sum of its proper divisors (221005875829300).

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

153135514503200 is a wasteful number, since it uses less digits than its factorization.

153135514503200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153259390 (or 153259377 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 38.

The spelling of 153135514503200 in words is "one hundred fifty-three trillion, one hundred thirty-five billion, five hundred fourteen million, five hundred three thousand, two hundred".