157884144 has 80 divisors (see below), whose sum is σ = 464327424. Its totient is φ = 45760000.

The previous prime is 157884137. The next prime is 157884169. The reversal of 157884144 is 441488751.

157884144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×157884144² = 49854805853225472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 157884096 and 157884105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5644 + ... + 18644.

Almost surely, 2^157884144 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 157884144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232163712).

157884144 is an abundant number, since it is smaller than the sum of its proper divisors (306443280).

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

157884144 is a wasteful number, since it uses less digits than its factorization.

157884144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13046 (or 13040 counting only the distinct ones).

The product of its digits is 143360, while the sum is 42.

The square root of 157884144 is about 12565.1957406162. The cubic root of 157884144 is about 540.4798478259.

The spelling of 157884144 in words is "one hundred fifty-seven million, eight hundred eighty-four thousand, one hundred forty-four".