157215168 has 168 divisors, whose sum is σ = 510357120. Its totient is φ = 47589120.

The previous prime is 157215161. The next prime is 157215203. The reversal of 157215168 is 861512751.

157215168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157215161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170613 + ... + 171531.

It is an arithmetic number, because the mean of its divisors is an integer number (3037840).

Almost surely, 2^157215168 is an apocalyptic number.

157215168 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 157215168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255178560).

157215168 is an abundant number, since it is smaller than the sum of its proper divisors (353141952).

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

157215168 is an equidigital number, since it uses as much as digits as its factorization.

157215168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 935 counting only the distinct ones).

The product of its digits is 16800, while the sum is 36.

The square root of 157215168 is about 12538.5472842750. The cubic root of 157215168 is about 539.7154055931.

The spelling of 157215168 in words is "one hundred fifty-seven million, two hundred fifteen thousand, one hundred sixty-eight".