157488000 has 256 divisors, whose sum is σ = 555647040. Its totient is φ = 39321600.

The previous prime is 157487977. The next prime is 157488013. The reversal of 157488000 is 884751.

It is a happy number.

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, 815904 + ... + 816096.

Almost surely, 2^157488000 is an apocalyptic number.

157488000 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 157488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277823520).

157488000 is an abundant number, since it is smaller than the sum of its proper divisors (398159040).

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

157488000 is a wasteful number, since it uses less digits than its factorization.

157488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 220 counting only the distinct ones).

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

The square root of 157488000 is about 12549.4222974605. The cubic root of 157488000 is about 540.0274334485.

The spelling of 157488000 in words is "one hundred fifty-seven million, four hundred eighty-eight thousand".