157488 has 40 divisors (see below), whose sum is σ = 433008. Its totient is φ = 49152.

The previous prime is 157483. The next prime is 157489. The reversal of 157488 is 884751.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (157483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 720 + ... + 912.

2¹⁵⁷⁴⁸⁸ 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 157488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216504).

157488 is an abundant number, since it is smaller than the sum of its proper divisors (275520).

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

157488 is a wasteful number, since it uses less digits than its factorization.

157488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its digits is 8960, while the sum is 33.

The square root of 157488 is about 396.8475777928. The cubic root of 157488 is about 54.0027433449.

It can be divided in two parts, 15 and 7488, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 157488 in words is "one hundred fifty-seven thousand, four hundred eighty-eight".