152382560 has 144 divisors (see below), whose sum is σ = 419888448. Its totient is φ = 52039680.

The previous prime is 152382557. The next prime is 152382619. The reversal of 152382560 is 65283251.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328889 + ... + 329351.

It is an arithmetic number, because the mean of its divisors is an integer number (2915892).

Almost surely, 2^152382560 is an apocalyptic number.

152382560 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 152382560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209944224).

152382560 is an abundant number, since it is smaller than the sum of its proper divisors (267505888).

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

152382560 is a wasteful number, since it uses less digits than its factorization.

152382560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 152382560 is about 12344.3331128093. Note that the first 3 decimals coincide. The cubic root of 152382560 is about 534.1276843553.

The spelling of 152382560 in words is "one hundred fifty-two million, three hundred eighty-two thousand, five hundred sixty".