157057940 has 24 divisors (see below), whose sum is σ = 355193160. Its totient is φ = 57990528.

The previous prime is 157057937. The next prime is 157057949. The reversal of 157057940 is 49750751.

It can be written as a sum of positive squares in 4 ways, for example, as 2155024 + 154902916 = 1468^2 + 12446^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 157057894 and 157057903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157057949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301775 + ... + 302294.

It is an arithmetic number, because the mean of its divisors is an integer number (14799715).

Almost surely, 2^157057940 is an apocalyptic number.

157057940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157057940 is an abundant number, since it is smaller than the sum of its proper divisors (198135220).

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

157057940 is a wasteful number, since it uses less digits than its factorization.

157057940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604091 (or 604089 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 38.

The square root of 157057940 is about 12532.2759305722. The cubic root of 157057940 is about 539.5354257624.

The spelling of 157057940 in words is "one hundred fifty-seven million, fifty-seven thousand, nine hundred forty".