132076646507520 has 3168 divisors, whose sum is σ = 556601487842400. Its totient is φ = 28757175828480.

The previous prime is 132076646507471. The next prime is 132076646507557. The reversal of 132076646507520 is 25705646670231.

132076646507520 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 7 + 6 + 64 + 6 + 50 + 7 + 520 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 8968922873856 + 123107723633664 = 2994816^2 + 11095392^2 .

It is a tau number, because it is divible by the number of its divisors (3168).

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, 576753914766 + ... + 576753914994.

Almost surely, 2^{132076646507520} is an apocalyptic number.

132076646507520 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 132076646507520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278300743921200).

132076646507520 is an abundant number, since it is smaller than the sum of its proper divisors (424524841334880).

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

132076646507520 is a wasteful number, since it uses less digits than its factorization.

132076646507520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 132076646507520 in words is "one hundred thirty-two trillion, seventy-six billion, six hundred forty-six million, five hundred seven thousand, five hundred twenty".