232505141335100 has 144 divisors (see below), whose sum is σ = 508552129747200. Its totient is φ = 92264114188800.

The previous prime is 232505141335097. The next prime is 232505141335127. The reversal of 232505141335100 is 1533141505232.

It is a happy number.

It is a super-2 number, since 2×232505141335100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30199391051 + ... + 30199398749.

Almost surely, 2^{232505141335100} is an apocalyptic number.

232505141335100 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 232505141335100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254276064873600).

232505141335100 is an abundant number, since it is smaller than the sum of its proper divisors (276046988412100).

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

232505141335100 is a wasteful number, since it uses less digits than its factorization.

232505141335100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11188 (or 11181 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 232505141335100 in words is "two hundred thirty-two trillion, five hundred five billion, one hundred forty-one million, three hundred thirty-five thousand, one hundred".