152988 has 48 divisors (see below), whose sum is σ = 416640. Its totient is φ = 43200.

The previous prime is 152981. The next prime is 152989. The reversal of 152988 is 889251.

It is a happy number.

152988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (5760) is a multiple of the sum of its prime divisors (96).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152981) by changing a digit.

152988 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2478 + ... + 2538.

It is an arithmetic number, because the mean of its divisors is an integer number (8680).

2¹⁵²⁹⁸⁸ 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 152988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208320).

152988 is an abundant number, since it is smaller than the sum of its proper divisors (263652).

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

152988 is a wasteful number, since it uses less digits than its factorization.

152988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 96 counting only the distinct ones).

The product of its digits is 5760, while the sum is 33.

The square root of 152988 is about 391.1368047116. The cubic root of 152988 is about 53.4834140801.

It can be divided in two parts, 15 and 2988, that added together give a palindrome (3003).

The spelling of 152988 in words is "one hundred fifty-two thousand, nine hundred eighty-eight".