132070461304320 has 5760 divisors, whose sum is σ = 645641428303872. Its totient is φ = 24138429235200.

The previous prime is 132070461304289. The next prime is 132070461304391. The reversal of 132070461304320 is 23403164070231.

132070461304320 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 7 + 0 + 4 + 613 + 0 + 4 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1039924892097 + ... + 1039924892223.

Almost surely, 2^{132070461304320} is an apocalyptic number.

132070461304320 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 132070461304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322820714151936).

132070461304320 is an abundant number, since it is smaller than the sum of its proper divisors (513570966999552).

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

132070461304320 is a wasteful number, since it uses less digits than its factorization.

132070461304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 132070461304320 in words is "one hundred thirty-two trillion, seventy billion, four hundred sixty-one million, three hundred four thousand, three hundred twenty".