157168128 has 160 divisors (see below), whose sum is σ = 478469376. Its totient is φ = 45416448.

The previous prime is 157168103. The next prime is 157168169. The reversal of 157168128 is 821861751.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339225 + ... + 339687.

Almost surely, 2^157168128 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 157168128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239234688).

157168128 is an abundant number, since it is smaller than the sum of its proper divisors (321301248).

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

157168128 is a wasteful number, since it uses less digits than its factorization.

157168128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 498 counting only the distinct ones).

The product of its digits is 26880, while the sum is 39.

The square root of 157168128 is about 12536.6713285465. The cubic root of 157168128 is about 539.6615712090.

The spelling of 157168128 in words is "one hundred fifty-seven million, one hundred sixty-eight thousand, one hundred twenty-eight".