152800488 has 96 divisors (see below), whose sum is σ = 452424960. Its totient is φ = 46379520.

The previous prime is 152800441. The next prime is 152800493. The reversal of 152800488 is 884008251.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35931 + ... + 39957.

It is an arithmetic number, because the mean of its divisors is an integer number (4712760).

Almost surely, 2^152800488 is an apocalyptic number.

152800488 is a gapful number since it is divisible by the number (18) 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 152800488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226212480).

152800488 is an abundant number, since it is smaller than the sum of its proper divisors (299624472).

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

152800488 is a wasteful number, since it uses less digits than its factorization.

152800488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 152800488 is about 12361.2494514106. The cubic root of 152800488 is about 534.6155423478.

The spelling of 152800488 in words is "one hundred fifty-two million, eight hundred thousand, four hundred eighty-eight".