157158144 has 360 divisors, whose sum is σ = 560930832. Its totient is φ = 43130880.

The previous prime is 157158119. The next prime is 157158151. The reversal of 157158144 is 441851751.

157158144 is a `hidden beast` number, since 1 + 5 + 71 + 581 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 157158099 and 157158108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2965222 + ... + 2965274.

Almost surely, 2^157158144 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 157158144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280465416).

157158144 is an abundant number, since it is smaller than the sum of its proper divisors (403772688).

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

157158144 is a wasteful number, since it uses less digits than its factorization.

157158144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its digits is 22400, while the sum is 36.

The square root of 157158144 is about 12536.2731304004. The cubic root of 157158144 is about 539.6501437538.

The spelling of 157158144 in words is "one hundred fifty-seven million, one hundred fifty-eight thousand, one hundred forty-four".