157987584 has 180 divisors, whose sum is σ = 497121240. Its totient is φ = 49766400.

The previous prime is 157987573. The next prime is 157987589. The reversal of 157987584 is 485789751.

157987584 is a `hidden beast` number, since 1 + 57 + 9 + 8 + 7 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2822400) is a multiple of the sum of its prime factors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 157987584.

It is not an unprimeable number, because it can be changed into a prime (157987589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 393784 + ... + 394184.

Almost surely, 2^157987584 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 157987584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248560620).

157987584 is an abundant number, since it is smaller than the sum of its proper divisors (339133656).

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

157987584 is an equidigital number, since it uses as much as digits as its factorization.

157987584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 425 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 54.

The square root of 157987584 is about 12569.3111983115. The cubic root of 157987584 is about 540.5978563627.

The spelling of 157987584 in words is "one hundred fifty-seven million, nine hundred eighty-seven thousand, five hundred eighty-four".