157512768 has 112 divisors (see below), whose sum is σ = 479877120. Its totient is φ = 44665344.

The previous prime is 157512749. The next prime is 157512799. The reversal of 157512768 is 867215751.

157512768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 218713 + ... + 219431.

Almost surely, 2^157512768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157512768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239938560).

157512768 is an abundant number, since it is smaller than the sum of its proper divisors (322364352).

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

157512768 is a wasteful number, since it uses less digits than its factorization.

157512768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 894 counting only the distinct ones).

The product of its digits is 117600, while the sum is 42.

The square root of 157512768 is about 12550.4090769982. The cubic root of 157512768 is about 540.0557418453.

The spelling of 157512768 in words is "one hundred fifty-seven million, five hundred twelve thousand, seven hundred sixty-eight".