157348675584 has 135 divisors (see below), whose sum is σ = 454989422433. Its totient is φ = 52398784512.

The previous prime is 157348675529. The next prime is 157348675591. The reversal of 157348675584 is 485576843751.

It is a happy number.

The square root of 157348675584 is 396672.

It is a perfect power (a square), and thus also a powerful number.

157348675584 is a `hidden beast` number, since 1 + 5 + 7 + 3 + 48 + 6 + 7 + 5 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 151912857600 + 5435817984 = 389760^2 + 73728^2 .

Its product of digits (112896000) is a multiple of the sum of its prime factors (2100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 152321532 + ... + 152322564.

Almost surely, 2^157348675584 is an apocalyptic number.

157348675584 is the 396672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157348675584

157348675584 is an abundant number, since it is smaller than the sum of its proper divisors (297640746849).

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

157348675584 is an frugal number, since it uses more digits than its factorization.

157348675584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 1038 counting only the distinct ones).

The product of its digits is 112896000, while the sum is 63.

The spelling of 157348675584 in words is "one hundred fifty-seven billion, three hundred forty-eight million, six hundred seventy-five thousand, five hundred eighty-four".