157040928 has 144 divisors (see below), whose sum is σ = 513021600. Its totient is φ = 45066240.

The previous prime is 157040921. The next prime is 157040929. The reversal of 157040928 is 829040751.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 157040892 and 157040901.

It is not an unprimeable number, because it can be changed into a prime (157040921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58888 + ... + 61496.

It is an arithmetic number, because the mean of its divisors is an integer number (3562650).

Almost surely, 2^157040928 is an apocalyptic number.

157040928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157040928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256510800).

157040928 is an abundant number, since it is smaller than the sum of its proper divisors (355980672).

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

157040928 is a wasteful number, since it uses less digits than its factorization.

157040928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 157040928 is about 12531.5971847167. The cubic root of 157040928 is about 539.5159448242.

The spelling of 157040928 in words is "one hundred fifty-seven million, forty thousand, nine hundred twenty-eight".