157581216 has 72 divisors (see below), whose sum is σ = 482603940. Its totient is φ = 48485376.

The previous prime is 157581181. The next prime is 157581223. The reversal of 157581216 is 612185751.

157581216 is a `hidden beast` number, since 1 + 57 + 581 + 21 + 6 = 666.

157581216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 153660816 + 3920400 = 12396^2 + 1980^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17301 + ... + 24788.

Almost surely, 2^157581216 is an apocalyptic number.

157581216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

157581216 is an abundant number, since it is smaller than the sum of its proper divisors (325022724).

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

157581216 is a wasteful number, since it uses less digits than its factorization.

157581216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42118 (or 42107 counting only the distinct ones).

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

The square root of 157581216 is about 12553.1357038789. The cubic root of 157581216 is about 540.1339585355.

The spelling of 157581216 in words is "one hundred fifty-seven million, five hundred eighty-one thousand, two hundred sixteen".