132426479520 has 288 divisors, whose sum is σ = 467592652800. Its totient is φ = 34093301760.

The previous prime is 132426479519. The next prime is 132426479539. The reversal of 132426479520 is 25974624231.

132426479520 is a `hidden beast` number, since 1 + 32 + 4 + 26 + 4 + 79 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 20040057 + ... + 20046663.

It is an arithmetic number, because the mean of its divisors is an integer number (1623585600).

Almost surely, 2^132426479520 is an apocalyptic number.

132426479520 is a gapful number since it is divisible by the number (10) 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 132426479520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233796326400).

132426479520 is an abundant number, since it is smaller than the sum of its proper divisors (335166173280).

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

132426479520 is a wasteful number, since it uses less digits than its factorization.

132426479520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7108 (or 7097 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 132426479520 in words is "one hundred thirty-two billion, four hundred twenty-six million, four hundred seventy-nine thousand, five hundred twenty".