132561771120 has 360 divisors, whose sum is σ = 456807186576. Its totient is φ = 34449082368.

The previous prime is 132561771113. The next prime is 132561771143. The reversal of 132561771120 is 21177165231.

132561771120 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 617 + 7 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 568934524 + ... + 568934756.

Almost surely, 2^132561771120 is an apocalyptic number.

132561771120 is a gapful number since it is divisible by the number (10) 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 132561771120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228403593288).

132561771120 is an abundant number, since it is smaller than the sum of its proper divisors (324245415456).

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

132561771120 is a wasteful number, since it uses less digits than its factorization.

132561771120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 132561771120 in words is "one hundred thirty-two billion, five hundred sixty-one million, seven hundred seventy-one thousand, one hundred twenty".