157632768 has 108 divisors (see below), whose sum is σ = 469367808. Its totient is φ = 50826240.

The previous prime is 157632767. The next prime is 157632773. The reversal of 157632768 is 867236751.

157632768 is a `hidden beast` number, since 1 + 5 + 7 + 632 + 7 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (157632763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70321 + ... + 72527.

Almost surely, 2^157632768 is an apocalyptic number.

157632768 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 157632768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234683904).

157632768 is an abundant number, since it is smaller than the sum of its proper divisors (311735040).

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

157632768 is a wasteful number, since it uses less digits than its factorization.

157632768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2243 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 157632768 is about 12555.1888874680. The cubic root of 157632768 is about 540.1928529280.

The spelling of 157632768 in words is "one hundred fifty-seven million, six hundred thirty-two thousand, seven hundred sixty-eight".