157511728 has 80 divisors (see below), whose sum is σ = 350977536. Its totient is φ = 67781120.

The previous prime is 157511719. The next prime is 157511741. The reversal of 157511728 is 827115751.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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, 675900 + ... + 676132.

Almost surely, 2^157511728 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 157511728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175488768).

157511728 is an abundant number, since it is smaller than the sum of its proper divisors (193465808).

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

157511728 is a wasteful number, since it uses less digits than its factorization.

157511728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its digits is 19600, while the sum is 37.

The square root of 157511728 is about 12550.3676440174. The cubic root of 157511728 is about 540.0545532449.

The spelling of 157511728 in words is "one hundred fifty-seven million, five hundred eleven thousand, seven hundred twenty-eight".