157090401 has 48 divisors (see below), whose sum is σ = 254736000. Its totient is φ = 95629248.

The previous prime is 157090399. The next prime is 157090441. The reversal of 157090401 is 104090751.

157090401 is a `hidden beast` number, since 1 + 570 + 90 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 157090401 - 2¹ = 157090399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (157090441) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 789300 + ... + 789498.

It is an arithmetic number, because the mean of its divisors is an integer number (5307000).

Almost surely, 2^157090401 is an apocalyptic number.

It is an amenable number.

157090401 is a deficient number, since it is larger than the sum of its proper divisors (97645599).

157090401 is a wasteful number, since it uses less digits than its factorization.

157090401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 157090401 is about 12533.5709596268. The cubic root of 157090401 is about 539.5725938992.

The spelling of 157090401 in words is "one hundred fifty-seven million, ninety thousand, four hundred one".