157300416 has 168 divisors, whose sum is σ = 555105824. Its totient is φ = 41472000.

The previous prime is 157300393. The next prime is 157300433. The reversal of 157300416 is 614003751.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 157300416.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50916 + ... + 53916.

Almost surely, 2^157300416 is an apocalyptic number.

157300416 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 157300416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277552912).

157300416 is an abundant number, since it is smaller than the sum of its proper divisors (397805408).

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

157300416 is a wasteful number, since it uses less digits than its factorization.

157300416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 157300416 is about 12541.9462604494. The cubic root of 157300416 is about 539.8129393233.

The spelling of 157300416 in words is "one hundred fifty-seven million, three hundred thousand, four hundred sixteen".