232133713920 has 1120 divisors, whose sum is σ = 896716820736. Its totient is φ = 57330892800.

The previous prime is 232133713919. The next prime is 232133713937. The reversal of 232133713920 is 29317331232.

232133713920 is a `hidden beast` number, since 23 + 213 + 37 + 1 + 392 + 0 = 666.

It is a super-2 number, since 2×232133713920² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3805470690 + ... + 3805470750.

Almost surely, 2^232133713920 is an apocalyptic number.

232133713920 is a gapful number since it is divisible by the number (20) 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 232133713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448358410368).

232133713920 is an abundant number, since it is smaller than the sum of its proper divisors (664583106816).

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

232133713920 is an equidigital number, since it uses as much as digits as its factorization.

232133713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 232133713920 in words is "two hundred thirty-two billion, one hundred thirty-three million, seven hundred thirteen thousand, nine hundred twenty".