157984164 has 144 divisors (see below), whose sum is σ = 459659200. Its totient is φ = 45349632.

The previous prime is 157984133. The next prime is 157984201. The reversal of 157984164 is 461489751.

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 47 ways as a sum of consecutive naturals, for example, 969147 + ... + 969309.

Almost surely, 2^157984164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157984164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229829600).

157984164 is an abundant number, since it is smaller than the sum of its proper divisors (301675036).

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

157984164 is a wasteful number, since it uses less digits than its factorization.

157984164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 309 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 157984164 is about 12569.1751519342. The cubic root of 157984164 is about 540.5939555118.

The spelling of 157984164 in words is "one hundred fifty-seven million, nine hundred eighty-four thousand, one hundred sixty-four".