152538372 has 108 divisors (see below), whose sum is σ = 459194736. Its totient is φ = 42547680.

The previous prime is 152538367. The next prime is 152538401. The reversal of 152538372 is 273835251.

It is a happy number.

152538372 is a `hidden beast` number, since 1 + 52 + 538 + 3 + 72 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74847 + ... + 76857.

Almost surely, 2^152538372 is an apocalyptic number.

152538372 is a gapful number since it is divisible by the number (12) 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 152538372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229597368).

152538372 is an abundant number, since it is smaller than the sum of its proper divisors (306656364).

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

152538372 is a wasteful number, since it uses less digits than its factorization.

152538372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2066 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 152538372 is about 12350.6425743764. The cubic root of 152538372 is about 534.3096718333.

The spelling of 152538372 in words is "one hundred fifty-two million, five hundred thirty-eight thousand, three hundred seventy-two".