132920275968 has 176 divisors, whose sum is σ = 407221992000. Its totient is φ = 42778681344.

The previous prime is 132920275921. The next prime is 132920276029. The reversal of 132920275968 is 869572029231.

132920275968 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 20 + 27 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718903 + ... + 884681.

Almost surely, 2^132920275968 is an apocalyptic number.

132920275968 is a gapful number since it is divisible by the number (18) 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 132920275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203610996000).

132920275968 is an abundant number, since it is smaller than the sum of its proper divisors (274301716032).

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

132920275968 is a wasteful number, since it uses less digits than its factorization.

132920275968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165837 (or 165813 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 132920275968 in words is "one hundred thirty-two billion, nine hundred twenty million, two hundred seventy-five thousand, nine hundred sixty-eight".