157477401 has 27 divisors (see below), whose sum is σ = 235050751. Its totient is φ = 101596704.

The previous prime is 157477393. The next prime is 157477451. The reversal of 157477401 is 104774751.

The square root of 157477401 is 12549.

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

It can be written as a sum of positive squares in only one way, i.e., 30239001 + 127238400 = 5499^2 + 11280^2 .

It is not a de Polignac number, because 157477401 - 2³ = 157477393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (157477451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1769365 + ... + 1769453.

Almost surely, 2^157477401 is an apocalyptic number.

157477401 is the 12549-th square number.

157477401 is the 6275-th centered octagonal number.

It is an amenable number.

157477401 is a deficient number, since it is larger than the sum of its proper divisors (77573350).

157477401 is an frugal number, since it uses more digits than its factorization.

157477401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The cubic root of 157477401 is about 540.0153184955.

Multiplying 157477401 by its sum of digits (36), we get a square (5669186436 = 75294²).

The spelling of 157477401 in words is "one hundred fifty-seven million, four hundred seventy-seven thousand, four hundred one".