157772160 has 576 divisors, whose sum is σ = 698377680. Its totient is φ = 32514048.

The previous prime is 157772137. The next prime is 157772161. The reversal of 157772160 is 61277751.

157772160 is a `hidden beast` number, since 1 + 577 + 7 + 21 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157772161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3669099 + ... + 3669141.

Almost surely, 2^157772160 is an apocalyptic number.

157772160 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 157772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349188840).

157772160 is an abundant number, since it is smaller than the sum of its proper divisors (540605520).

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

157772160 is a wasteful number, since it uses less digits than its factorization.

157772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The square root of 157772160 is about 12560.7388317726. The cubic root of 157772160 is about 540.3520338287.

It can be divided in two parts, 1577 and 72160, that added together give a palindrome (73737).

The spelling of 157772160 in words is "one hundred fifty-seven million, seven hundred seventy-two thousand, one hundred sixty".