152388 has 48 divisors (see below), whose sum is σ = 423360. Its totient is φ = 47232.

The previous prime is 152381. The next prime is 152389. The reversal of 152388 is 883251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (152381) by changing a digit.

152388 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1795 + ... + 1877.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2¹⁵²³⁸⁸ is an apocalyptic number.

152388 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 152388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680).

152388 is an abundant number, since it is smaller than the sum of its proper divisors (270972).

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

152388 is a wasteful number, since it uses less digits than its factorization.

152388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 152388 is about 390.3690561507. The cubic root of 152388 is about 53.4134040332.

The spelling of 152388 in words is "one hundred fifty-two thousand, three hundred eighty-eight".