157091880 has 192 divisors, whose sum is σ = 536256000. Its totient is φ = 36748800.

The previous prime is 157091873. The next prime is 157091887. The reversal of 157091880 is 88190751.

It is an interprime number because it is at equal distance from previous prime (157091873) and next prime (157091887).

It is not an unprimeable number, because it can be changed into a prime (157091887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 449946 + ... + 450294.

It is an arithmetic number, because the mean of its divisors is an integer number (2793000).

Almost surely, 2^157091880 is an apocalyptic number.

157091880 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 157091880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268128000).

157091880 is an abundant number, since it is smaller than the sum of its proper divisors (379164120).

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

157091880 is a wasteful number, since it uses less digits than its factorization.

157091880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 39.

The square root of 157091880 is about 12533.6299610288. The cubic root of 157091880 is about 539.5742872455.

The spelling of 157091880 in words is "one hundred fifty-seven million, ninety-one thousand, eight hundred eighty".