132961729209264 has 200 divisors, whose sum is σ = 414964121898480. Its totient is φ = 40963818700800.

The previous prime is 132961729209229. The next prime is 132961729209271. The reversal of 132961729209264 is 462902927169231.

132961729209264 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 617 + 2 + 9 + 2 + 0 + 9 + 2 + 6 + 4 = 666.

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, 64840177 + ... + 66859344.

Almost surely, 2^{132961729209264} is an apocalyptic number.

It is an amenable number.

132961729209264 is an abundant number, since it is smaller than the sum of its proper divisors (282002392689216).

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

132961729209264 is a wasteful number, since it uses less digits than its factorization.

132961729209264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131699601 (or 131699586 counting only the distinct ones).

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

The spelling of 132961729209264 in words is "one hundred thirty-two trillion, nine hundred sixty-one billion, seven hundred twenty-nine million, two hundred nine thousand, two hundred sixty-four".