132973840097280 has 2352 divisors, whose sum is σ = 599472347269824. Its totient is φ = 28052005847040.

The previous prime is 132973840097243. The next prime is 132973840097291. The reversal of 132973840097280 is 82790048379231.

132973840097280 is a `hidden beast` number, since 1 + 3 + 2 + 97 + 38 + 400 + 97 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 19020714585 + ... + 19020721575.

Almost surely, 2^{132973840097280} is an apocalyptic number.

132973840097280 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 132973840097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299736173634912).

132973840097280 is an abundant number, since it is smaller than the sum of its proper divisors (466498507172544).

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

132973840097280 is an frugal number, since it uses more digits than its factorization.

132973840097280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7067 (or 7021 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 132973840097280 in words is "one hundred thirty-two trillion, nine hundred seventy-three billion, eight hundred forty million, ninety-seven thousand, two hundred eighty".