132880619520 has 1152 divisors, whose sum is σ = 540901670400. Its totient is φ = 29845094400.

The previous prime is 132880619513. The next prime is 132880619551. The reversal of 132880619520 is 25916088231.

132880619520 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 8 + 0 + 619 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 955975611 + ... + 955975749.

It is an arithmetic number, because the mean of its divisors is an integer number (469532700).

Almost surely, 2^132880619520 is an apocalyptic number.

132880619520 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 132880619520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270450835200).

132880619520 is an abundant number, since it is smaller than the sum of its proper divisors (408021050880).

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

132880619520 is a wasteful number, since it uses less digits than its factorization.

132880619520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 132880619520 in words is "one hundred thirty-two billion, eight hundred eighty million, six hundred nineteen thousand, five hundred twenty".