157917816 has 256 divisors, whose sum is σ = 552960000. Its totient is φ = 40715136.

The previous prime is 157917803. The next prime is 157917829. The reversal of 157917816 is 618719751.

157917816 is a `hidden beast` number, since 1 + 579 + 1 + 78 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (157917803) and next prime (157917829).

It is a super-2 number, since 2×157917816² = 49876073220419712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 660625 + ... + 660863.

It is an arithmetic number, because the mean of its divisors is an integer number (2160000).

Almost surely, 2^157917816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157917816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276480000).

157917816 is an abundant number, since it is smaller than the sum of its proper divisors (395042184).

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

157917816 is a wasteful number, since it uses less digits than its factorization.

157917816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its digits is 105840, while the sum is 45.

The square root of 157917816 is about 12566.5355607661. The cubic root of 157917816 is about 540.5182678626.

The spelling of 157917816 in words is "one hundred fifty-seven million, nine hundred seventeen thousand, eight hundred sixteen".