132525105405 has 96 divisors (see below), whose sum is σ = 266889095424. Its totient is φ = 54966912000.

The previous prime is 132525105397. The next prime is 132525105407. The reversal of 132525105405 is 504501525231.

It is not a de Polignac number, because 132525105405 - 2³ = 132525105397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132525105407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6609295 + ... + 6629315.

It is an arithmetic number, because the mean of its divisors is an integer number (2780094744).

Almost surely, 2^132525105405 is an apocalyptic number.

132525105405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132525105405 is an abundant number, since it is smaller than the sum of its proper divisors (134363990019).

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

132525105405 is a wasteful number, since it uses less digits than its factorization.

132525105405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20579 (or 20568 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The spelling of 132525105405 in words is "one hundred thirty-two billion, five hundred twenty-five million, one hundred five thousand, four hundred five".