157152416 has 48 divisors (see below), whose sum is σ = 315392616. Its totient is φ = 77070336.

The previous prime is 157152407. The next prime is 157152461. The reversal of 157152416 is 614251751.

157152416 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 4 ways, for example, as 148742416 + 8410000 = 12196^2 + 2900^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 611360 + ... + 611616.

Almost surely, 2^157152416 is an apocalyptic number.

157152416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

157152416 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

157152416 is a wasteful number, since it uses less digits than its factorization.

157152416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 553 counting only the distinct ones).

The product of its digits is 8400, while the sum is 32.

The square root of 157152416 is about 12536.0446712669. The cubic root of 157152416 is about 539.6435873991.

The spelling of 157152416 in words is "one hundred fifty-seven million, one hundred fifty-two thousand, four hundred sixteen".