157430400625 has 45 divisors (see below), whose sum is σ = 200862555751. Its totient is φ = 123349412000.

The previous prime is 157430400613. The next prime is 157430400643. The reversal of 157430400625 is 526004034751.

The square root of 157430400625 is 396775.

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

It can be written as a sum of positive squares in 7 ways, for example, as 157336775649 + 93624976 = 396657^2 + 9676^2 .

It is not a de Polignac number, because 157430400625 - 2⁵ = 157430400593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 585242991 + ... + 585243259.

Almost surely, 2^157430400625 is an apocalyptic number.

157430400625 is the 396775-th square number.

157430400625 is the 198388-th centered octagonal number.

It is an amenable number.

157430400625 is a deficient number, since it is larger than the sum of its proper divisors (43432155126).

157430400625 is an frugal number, since it uses more digits than its factorization.

157430400625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 157430400625 in words is "one hundred fifty-seven billion, four hundred thirty million, four hundred thousand, six hundred twenty-five".