132971566416 has 320 divisors, whose sum is σ = 399574425600. Its totient is φ = 37741068288.

The previous prime is 132971566391. The next prime is 132971566421. The reversal of 132971566416 is 614665179231.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119901670 + ... + 119902778.

It is an arithmetic number, because the mean of its divisors is an integer number (1248670080).

Almost surely, 2^132971566416 is an apocalyptic number.

132971566416 is a gapful number since it is divisible by the number (16) 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 132971566416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199787212800).

132971566416 is an abundant number, since it is smaller than the sum of its proper divisors (266602859184).

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

132971566416 is a wasteful number, since it uses less digits than its factorization.

132971566416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1360 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The spelling of 132971566416 in words is "one hundred thirty-two billion, nine hundred seventy-one million, five hundred sixty-six thousand, four hundred sixteen".