157372416 has 104 divisors (see below), whose sum is σ = 466559360. Its totient is φ = 52420608.

The previous prime is 157372409. The next prime is 157372429. The reversal of 157372416 is 614273751.

It is a happy number.

157372416 is a `hidden beast` number, since 1 + 573 + 72 + 4 + 16 = 666.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109881 + ... + 111303.

Almost surely, 2^157372416 is an apocalyptic number.

157372416 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 157372416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233279680).

157372416 is an abundant number, since it is smaller than the sum of its proper divisors (309186944).

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

157372416 is an equidigital number, since it uses as much as digits as its factorization.

157372416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1428 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 157372416 is about 12544.8162999703. The cubic root of 157372416 is about 539.8952883386.

The spelling of 157372416 in words is "one hundred fifty-seven million, three hundred seventy-two thousand, four hundred sixteen".