157189968 has 60 divisors (see below), whose sum is σ = 473758740. Its totient is φ = 48365568.

The previous prime is 157189909. The next prime is 157189969. The reversal of 157189968 is 869981751.

157189968 is a `hidden beast` number, since 1 + 571 + 8 + 9 + 9 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87834384 + 69355584 = 9372^2 + 8328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157189969) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 40113 + ... + 43856.

It is an arithmetic number, because the mean of its divisors is an integer number (7895979).

Almost surely, 2^157189968 is an apocalyptic number.

157189968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

157189968 is an abundant number, since it is smaller than the sum of its proper divisors (316568772).

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

157189968 is a wasteful number, since it uses less digits than its factorization.

157189968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83996 (or 83987 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 54.

The square root of 157189968 is about 12537.5423428996. The cubic root of 157189968 is about 539.6865670801.

The spelling of 157189968 in words is "one hundred fifty-seven million, one hundred eighty-nine thousand, nine hundred sixty-eight".