157188096 has 192 divisors, whose sum is σ = 500949540. Its totient is φ = 47185920.

The previous prime is 157188067. The next prime is 157188133. The reversal of 157188096 is 690881751.

It can be written as a sum of positive squares in 2 ways, for example, as 124010496 + 33177600 = 11136^2 + 5760^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3833836 + ... + 3833876.

Almost surely, 2^157188096 is an apocalyptic number.

157188096 is a gapful number since it is divisible by the number (16) 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 157188096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250474770).

157188096 is an abundant number, since it is smaller than the sum of its proper divisors (343761444).

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

157188096 is an equidigital number, since it uses as much as digits as its factorization.

157188096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 157188096 is about 12537.4676868975. The cubic root of 157188096 is about 539.6844246676.

The spelling of 157188096 in words is "one hundred fifty-seven million, one hundred eighty-eight thousand, ninety-six".