152588480 has 112 divisors (see below), whose sum is σ = 402921216. Its totient is φ = 54574080.

The previous prime is 152588441. The next prime is 152588483. The reversal of 152588480 is 84885251.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (152588483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235517 + ... + 236163.

Almost surely, 2^152588480 is an apocalyptic number.

152588480 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 152588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201460608).

152588480 is an abundant number, since it is smaller than the sum of its proper divisors (250332736).

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

152588480 is a wasteful number, since it uses less digits than its factorization.

152588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 41.

The square root of 152588480 is about 12352.6709662324. The cubic root of 152588480 is about 534.3681713387.

The spelling of 152588480 in words is "one hundred fifty-two million, five hundred eighty-eight thousand, four hundred eighty".