153983232 has 216 divisors, whose sum is σ = 492166584. Its totient is φ = 46006272.

The previous prime is 153983209. The next prime is 153983251. The reversal of 153983232 is 232389351.

It can be written as a sum of positive squares in 4 ways, for example, as 12278016 + 141705216 = 3504^2 + 11904^2 .

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

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, 1587408 + ... + 1587504.

It is an arithmetic number, because the mean of its divisors is an integer number (2278549).

Almost surely, 2^153983232 is an apocalyptic number.

153983232 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 153983232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246083292).

153983232 is an abundant number, since it is smaller than the sum of its proper divisors (338183352).

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

153983232 is a wasteful number, since it uses less digits than its factorization.

153983232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 153983232 is about 12408.9980256264. The cubic root of 153983232 is about 535.9913862134.

The spelling of 153983232 in words is "one hundred fifty-three million, nine hundred eighty-three thousand, two hundred thirty-two".