132957781672320 has 1920 divisors, whose sum is σ = 542864764743840. Its totient is φ = 30962663424000.

The previous prime is 132957781672253. The next prime is 132957781672343. The reversal of 132957781672320 is 23276187759231.

132957781672320 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 577 + 8 + 16 + 7 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×132957781672320³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16453130680 + ... + 16453138760.

Almost surely, 2^{132957781672320} is an apocalyptic number.

132957781672320 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 132957781672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271432382371920).

132957781672320 is an abundant number, since it is smaller than the sum of its proper divisors (409906983071520).

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

132957781672320 is a wasteful number, since it uses less digits than its factorization.

132957781672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8238 (or 8206 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 132957781672320 in words is "one hundred thirty-two trillion, nine hundred fifty-seven billion, seven hundred eighty-one million, six hundred seventy-two thousand, three hundred twenty".