157233664 has 80 divisors (see below), whose sum is σ = 378100800. Its totient is φ = 63811584.

The previous prime is 157233653. The next prime is 157233677. The reversal of 157233664 is 466332751.

157233664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66942 + ... + 69250.

It is an arithmetic number, because the mean of its divisors is an integer number (4726260).

Almost surely, 2^157233664 is an apocalyptic number.

157233664 is a gapful number since it is divisible by the number (14) 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 157233664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189050400).

157233664 is an abundant number, since it is smaller than the sum of its proper divisors (220867136).

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

157233664 is an equidigital number, since it uses as much as digits as its factorization.

157233664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2337 counting only the distinct ones).

The product of its digits is 90720, while the sum is 37.

The square root of 157233664 is about 12539.2848280913. The cubic root of 157233664 is about 539.7365701851.

The spelling of 157233664 in words is "one hundred fifty-seven million, two hundred thirty-three thousand, six hundred sixty-four".