132967668960 has 240 divisors, whose sum is σ = 536303297376. Its totient is φ = 30392589312.

The previous prime is 132967668947. The next prime is 132967668983. The reversal of 132967668960 is 69866769231.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×132967668960² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 642127 + ... + 823566.

Almost surely, 2^132967668960 is an apocalyptic number.

132967668960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132967668960 is an abundant number, since it is smaller than the sum of its proper divisors (403335628416).

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

132967668960 is a wasteful number, since it uses less digits than its factorization.

132967668960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465727 (or 1465710 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 132967668960 in words is "one hundred thirty-two billion, nine hundred sixty-seven million, six hundred sixty-eight thousand, nine hundred sixty".