157177728 has 192 divisors, whose sum is σ = 490089600. Its totient is φ = 48190464.

The previous prime is 157177717. The next prime is 157177763. The reversal of 157177728 is 827771751.

It is a happy number.

157177728 is a `hidden beast` number, since 1 + 571 + 7 + 7 + 72 + 8 = 666.

157177728 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 (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 941101 + ... + 941267.

It is an arithmetic number, because the mean of its divisors is an integer number (2552550).

Almost surely, 2^157177728 is an apocalyptic number.

157177728 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 157177728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245044800).

157177728 is an abundant number, since it is smaller than the sum of its proper divisors (332911872).

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

157177728 is a wasteful number, since it uses less digits than its factorization.

157177728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its digits is 192080, while the sum is 45.

The square root of 157177728 is about 12537.0541994521. The cubic root of 157177728 is about 539.6725586903.

The spelling of 157177728 in words is "one hundred fifty-seven million, one hundred seventy-seven thousand, seven hundred twenty-eight".