157815 has 32 divisors (see below), whose sum is σ = 322560. Its totient is φ = 71712.

The previous prime is 157813. The next prime is 157823. The reversal of 157815 is 518751.

It is not a de Polignac number, because 157815 - 2¹ = 157813 is a prime.

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

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 157815.

It is not an unprimeable number, because it can be changed into a prime (157813) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862 + ... + 1028.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2¹⁵⁷⁸¹⁵ is an apocalyptic number.

157815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

157815 is an abundant number, since it is smaller than the sum of its proper divisors (164745).

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

157815 is a wasteful number, since it uses less digits than its factorization.

157815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 182 counting only the distinct ones).

The product of its digits is 1400, while the sum is 27.

The square root of 157815 is about 397.2593611232. The cubic root of 157815 is about 54.0400936808.

The spelling of 157815 in words is "one hundred fifty-seven thousand, eight hundred fifteen".