157837680 has 640 divisors, whose sum is σ = 739952640. Its totient is φ = 29859840.

The previous prime is 157837679. The next prime is 157837699. The reversal of 157837680 is 86738751.

157837680 is a `hidden beast` number, since 1 + 578 + 3 + 76 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2162124 + ... + 2162196.

It is an arithmetic number, because the mean of its divisors is an integer number (1156176).

Almost surely, 2^157837680 is an apocalyptic number.

157837680 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 157837680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369976320).

157837680 is an abundant number, since it is smaller than the sum of its proper divisors (582114960).

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

157837680 is a wasteful number, since it uses less digits than its factorization.

157837680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 157837680 is about 12563.3466878854. The cubic root of 157837680 is about 540.4268230384.

The spelling of 157837680 in words is "one hundred fifty-seven million, eight hundred thirty-seven thousand, six hundred eighty".