157986816 has 208 divisors, whose sum is σ = 484382976. Its totient is φ = 45416448.

The previous prime is 157986791. The next prime is 157986823. The reversal of 157986816 is 618689751.

It is a tau number, because it is divible by the number of its divisors (208).

Its product of digits (725760) is a multiple of the sum of its prime divisors (84).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3674091 + ... + 3674133.

Almost surely, 2^157986816 is an apocalyptic number.

157986816 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 157986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242191488).

157986816 is an abundant number, since it is smaller than the sum of its proper divisors (326396160).

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

157986816 is a wasteful number, since it uses less digits than its factorization.

157986816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

The product of its digits is 725760, while the sum is 51.

The square root of 157986816 is about 12569.2806476743. The cubic root of 157986816 is about 540.5969803871.

The spelling of 157986816 in words is "one hundred fifty-seven million, nine hundred eighty-six thousand, eight hundred sixteen".