157084980 has 96 divisors (see below), whose sum is σ = 486562944. Its totient is φ = 37615104.

The previous prime is 157084979. The next prime is 157085003. The reversal of 157084980 is 89480751.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26139 + ... + 31581.

It is an arithmetic number, because the mean of its divisors is an integer number (5068364).

Almost surely, 2^157084980 is an apocalyptic number.

157084980 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 157084980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243281472).

157084980 is an abundant number, since it is smaller than the sum of its proper divisors (329477964).

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

157084980 is a wasteful number, since it uses less digits than its factorization.

157084980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5503 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 157084980 is about 12533.3546985633. The cubic root of 157084980 is about 539.5663871616.

The spelling of 157084980 in words is "one hundred fifty-seven million, eighty-four thousand, nine hundred eighty".