157032040 has 128 divisors (see below), whose sum is σ = 410572800. Its totient is φ = 53489920.

The previous prime is 157031993. The next prime is 157032047. The reversal of 157032040 is 40230751.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (157032047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 596949 + ... + 597211.

It is an arithmetic number, because the mean of its divisors is an integer number (3207600).

Almost surely, 2^157032040 is an apocalyptic number.

157032040 is a gapful number since it is divisible by the number (10) 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 157032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205286400).

157032040 is an abundant number, since it is smaller than the sum of its proper divisors (253540760).

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

157032040 is a wasteful number, since it uses less digits than its factorization.

157032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 157032040 is about 12531.2425561075. The cubic root of 157032040 is about 539.5057663561.

Adding to 157032040 its reverse (40230751), we get a palindrome (197262791).

The spelling of 157032040 in words is "one hundred fifty-seven million, thirty-two thousand, forty".