157661360 has 40 divisors (see below), whose sum is σ = 368788896. Its totient is φ = 62681600.

The previous prime is 157661333. The next prime is 157661377. The reversal of 157661360 is 63166751.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 157661360.

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 7 ways as a sum of consecutive naturals, for example, 7460 + ... + 19260.

Almost surely, 2^157661360 is an apocalyptic number.

157661360 is a gapful number since it is divisible by the number (10) 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 157661360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184394448).

157661360 is an abundant number, since it is smaller than the sum of its proper divisors (211127536).

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

157661360 is a wasteful number, since it uses less digits than its factorization.

157661360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11981 (or 11975 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 157661360 is about 12556.3274885613. The cubic root of 157661360 is about 540.2255116628.

The spelling of 157661360 in words is "one hundred fifty-seven million, six hundred sixty-one thousand, three hundred sixty".