132418095264 has 576 divisors, whose sum is σ = 487736121600. Its totient is φ = 33136459776.

The previous prime is 132418095203. The next prime is 132418095283. The reversal of 132418095264 is 462590814231.

132418095264 is a `hidden beast` number, since 1 + 3 + 2 + 41 + 80 + 9 + 526 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44840412 + ... + 44843364.

It is an arithmetic number, because the mean of its divisors is an integer number (846764100).

Almost surely, 2^132418095264 is an apocalyptic number.

132418095264 is a gapful number since it is divisible by the number (14) 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 132418095264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243868060800).

132418095264 is an abundant number, since it is smaller than the sum of its proper divisors (355318026336).

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

132418095264 is a wasteful number, since it uses less digits than its factorization.

132418095264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 132418095264 in words is "one hundred thirty-two billion, four hundred eighteen million, ninety-five thousand, two hundred sixty-four".