157266816 has 128 divisors (see below), whose sum is σ = 489404160. Its totient is φ = 43806720.

The previous prime is 157266803. The next prime is 157266829. The reversal of 157266816 is 618662751.

157266816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (157266803) and next prime (157266829).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 109495 + ... + 110921.

It is an arithmetic number, because the mean of its divisors is an integer number (3823470).

Almost surely, 2^157266816 is an apocalyptic number.

157266816 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 157266816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244702080).

157266816 is an abundant number, since it is smaller than the sum of its proper divisors (332137344).

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

157266816 is a wasteful number, since it uses less digits than its factorization.

157266816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1480 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 157266816 is about 12540.6066838889. The cubic root of 157266816 is about 539.7745011830.

The spelling of 157266816 in words is "one hundred fifty-seven million, two hundred sixty-six thousand, eight hundred sixteen".