132261464413840 has 80 divisors (see below), whose sum is σ = 310340135888640. Its totient is φ = 52419121574400.

The previous prime is 132261464413831. The next prime is 132261464413843. The reversal of 132261464413840 is 48314464162231.

132261464413840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×132261464413840³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132261464413843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9373884 + ... + 18772123.

It is an arithmetic number, because the mean of its divisors is an integer number (3879251698608).

Almost surely, 2^{132261464413840} is an apocalyptic number.

132261464413840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132261464413840 is an abundant number, since it is smaller than the sum of its proper divisors (178078671474800).

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

132261464413840 is a wasteful number, since it uses less digits than its factorization.

132261464413840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28146560 (or 28146554 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 49.

The spelling of 132261464413840 in words is "one hundred thirty-two trillion, two hundred sixty-one billion, four hundred sixty-four million, four hundred thirteen thousand, eight hundred forty".