132761005272 has 144 divisors (see below), whose sum is σ = 415948375440. Its totient is φ = 37473727104.

The previous prime is 132761005241. The next prime is 132761005301. The reversal of 132761005272 is 272500167231.

132761005272 is a `hidden beast` number, since 1 + 3 + 27 + 6 + 100 + 527 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3452938 + ... + 3491174.

It is an arithmetic number, because the mean of its divisors is an integer number (2888530385).

Almost surely, 2^132761005272 is an apocalyptic number.

132761005272 is a gapful number since it is divisible by the number (12) 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 132761005272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207974187720).

132761005272 is an abundant number, since it is smaller than the sum of its proper divisors (283187370168).

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

132761005272 is a wasteful number, since it uses less digits than its factorization.

132761005272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38422 (or 38332 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 132761005272 in words is "one hundred thirty-two billion, seven hundred sixty-one million, five thousand, two hundred seventy-two".