157940 has 24 divisors (see below), whose sum is σ = 340200. Its totient is φ = 61568.

The previous prime is 157933. The next prime is 157951. The reversal of 157940 is 49751.

157940 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 4 ways, for example, as 7396 + 150544 = 86^2 + 388^2 .

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

157940 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 986 + ... + 1134.

It is an arithmetic number, because the mean of its divisors is an integer number (14175).

2¹⁵⁷⁹⁴⁰ is an apocalyptic number.

157940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157940 is an abundant number, since it is smaller than the sum of its proper divisors (182260).

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

157940 is a wasteful number, since it uses less digits than its factorization.

157940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 157940 is about 397.4166579297. The cubic root of 157940 is about 54.0543577010.

The spelling of 157940 in words is "one hundred fifty-seven thousand, nine hundred forty".