132980126307840 has 2880 divisors, whose sum is σ = 565774033144320. Its totient is φ = 28266288906240.

The previous prime is 132980126307779. The next prime is 132980126307859. The reversal of 132980126307840 is 48703621089231.

It is a happy number.

132980126307840 is a `hidden beast` number, since 1 + 3 + 298 + 0 + 1 + 2 + 6 + 307 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 630237565335 + ... + 630237565545.

It is an arithmetic number, because the mean of its divisors is an integer number (196449317064).

Almost surely, 2^{132980126307840} is an apocalyptic number.

132980126307840 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 132980126307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282887016572160).

132980126307840 is an abundant number, since it is smaller than the sum of its proper divisors (432793906836480).

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

132980126307840 is a wasteful number, since it uses less digits than its factorization.

132980126307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 132980126307840 in words is "one hundred thirty-two trillion, nine hundred eighty billion, one hundred twenty-six million, three hundred seven thousand, eight hundred forty".