157505 has 12 divisors (see below), whose sum is σ = 202620. Its totient is φ = 117504.

The previous prime is 157489. The next prime is 157513. The reversal of 157505 is 505751.

It can be written as a sum of positive squares in 6 ways, for example, as 16129 + 141376 = 127^2 + 376^2 .

It is not a de Polignac number, because 157505 - 2⁴ = 157489 is a prime.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1391 + ... + 1499.

It is an arithmetic number, because the mean of its divisors is an integer number (16885).

2¹⁵⁷⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

157505 is a deficient number, since it is larger than the sum of its proper divisors (45115).

157505 is a wasteful number, since it uses less digits than its factorization.

157505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 875, while the sum is 23.

The square root of 157505 is about 396.8689960176. The cubic root of 157505 is about 54.0046863788.

It can be divided in two parts, 15 and 7505, that multiplied together give a triangular number (112575 = T₄₇₄).

The spelling of 157505 in words is "one hundred fifty-seven thousand, five hundred five".