157545 has 20 divisors (see below), whose sum is σ = 283140. Its totient is φ = 83808.

The previous prime is 157543. The next prime is 157559. The reversal of 157545 is 545751.

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 110889 = 216^2 + 333^2 .

It is not a de Polignac number, because 157545 - 2¹ = 157543 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (157543) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 211 + ... + 599.

It is an arithmetic number, because the mean of its divisors is an integer number (14157).

2¹⁵⁷⁵⁴⁵ is an apocalyptic number.

157545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

157545 is a deficient number, since it is larger than the sum of its proper divisors (125595).

157545 is an equidigital number, since it uses as much as digits as its factorization.

157545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 397 counting only the distinct ones).

The product of its digits is 3500, while the sum is 27.

The square root of 157545 is about 396.9193872816. The cubic root of 157545 is about 54.0092576720.

The spelling of 157545 in words is "one hundred fifty-seven thousand, five hundred forty-five".