157257905 has 36 divisors (see below), whose sum is σ = 233296668. Its totient is φ = 101445120.

The previous prime is 157257899. The next prime is 157257941. The reversal of 157257905 is 509752751.

157257905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 15147664 + 142110241 = 3892^2 + 11921^2 .

It is not a de Polignac number, because 157257905 - 2⁸ = 157257649 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69695 + ... + 71915.

It is an arithmetic number, because the mean of its divisors is an integer number (6480463).

Almost surely, 2^157257905 is an apocalyptic number.

It is an amenable number.

157257905 is a deficient number, since it is larger than the sum of its proper divisors (76038763).

157257905 is a wasteful number, since it uses less digits than its factorization.

157257905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 110250, while the sum is 41.

The square root of 157257905 is about 12540.2513930144. The cubic root of 157257905 is about 539.7643061494.

The spelling of 157257905 in words is "one hundred fifty-seven million, two hundred fifty-seven thousand, nine hundred five".