157344768 has 220 divisors, whose sum is σ = 538966912. Its totient is φ = 44789760.

The previous prime is 157344727. The next prime is 157344773. The reversal of 157344768 is 867443751.

157344768 is a `hidden beast` number, since 1 + 573 + 4 + 4 + 76 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 580473 + ... + 580743.

Almost surely, 2^157344768 is an apocalyptic number.

157344768 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 157344768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269483456).

157344768 is an abundant number, since it is smaller than the sum of its proper divisors (381622144).

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

157344768 is an equidigital number, since it uses as much as digits as its factorization.

157344768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 283 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 157344768 is about 12543.7142824604. The cubic root of 157344768 is about 539.8636692880.

It can be divided in two parts, 15734 and 4768, that added together give a palindrome (20502).

The spelling of 157344768 in words is "one hundred fifty-seven million, three hundred forty-four thousand, seven hundred sixty-eight".