157602816 has 198 divisors, whose sum is σ = 530889450. Its totient is φ = 44900352.

The previous prime is 157602799. The next prime is 157602817. The reversal of 157602816 is 618206751.

157602816 is a `hidden beast` number, since 1 + 576 + 0 + 2 + 81 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 146313216 + 11289600 = 12096^2 + 3360^2 .

It is a super-2 number, since 2×157602816² = 49677295222259712, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157602817) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451410 + ... + 451758.

Almost surely, 2^157602816 is an apocalyptic number.

157602816 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 157602816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265444725).

157602816 is an abundant number, since it is smaller than the sum of its proper divisors (373286634).

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

157602816 is a wasteful number, since it uses less digits than its factorization.

157602816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 157602816 is about 12553.9960172050. The cubic root of 157602816 is about 540.1586365201.

The spelling of 157602816 in words is "one hundred fifty-seven million, six hundred two thousand, eight hundred sixteen".