157116672 has 90 divisors (see below), whose sum is σ = 468555318. Its totient is φ = 52365312.

The previous prime is 157116607. The next prime is 157116677. The reversal of 157116672 is 276611751.

157116672 is a `hidden beast` number, since 1 + 571 + 16 + 6 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84934656 + 72182016 = 9216^2 + 8496^2 .

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

It is not an unprimeable number, because it can be changed into a prime (157116677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16948 + ... + 24524.

Almost surely, 2^157116672 is an apocalyptic number.

157116672 is a gapful number since it is divisible by the number (12) 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 157116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234277659).

157116672 is an abundant number, since it is smaller than the sum of its proper divisors (311438646).

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

157116672 is an frugal number, since it uses more digits than its factorization.

157116672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7605 (or 7582 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 157116672 is about 12534.6189411565. The cubic root of 157116672 is about 539.6026706817.

The spelling of 157116672 in words is "one hundred fifty-seven million, one hundred sixteen thousand, six hundred seventy-two".