157504 has 28 divisors (see below), whose sum is σ = 329184. Its totient is φ = 74624.

The previous prime is 157489. The next prime is 157513. The reversal of 157504 is 405751.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

157504 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1419 + ... + 1525.

2¹⁵⁷⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164592).

157504 is an abundant number, since it is smaller than the sum of its proper divisors (171680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157504 is a wasteful number, since it uses less digits than its factorization.

157504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 157504 is about 396.8677361540. The cubic root of 157504 is about 54.0045720866.

The spelling of 157504 in words is "one hundred fifty-seven thousand, five hundred four".