157163616 has 72 divisors (see below), whose sum is σ = 449074080. Its totient is φ = 52137216.

The previous prime is 157163599. The next prime is 157163639. The reversal of 157163616 is 616361751.

157163616 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 636 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

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, 64761 + ... + 67143.

It is an arithmetic number, because the mean of its divisors is an integer number (6237140).

Almost surely, 2^157163616 is an apocalyptic number.

157163616 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 157163616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224537040).

157163616 is an abundant number, since it is smaller than the sum of its proper divisors (291910464).

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

157163616 is a wasteful number, since it uses less digits than its factorization.

157163616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 2617 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 157163616 is about 12536.4913751815. The cubic root of 157163616 is about 539.6564069382.

The spelling of 157163616 in words is "one hundred fifty-seven million, one hundred sixty-three thousand, six hundred sixteen".