132615861840 has 720 divisors, whose sum is σ = 573259130496. Its totient is φ = 27162777600.

The previous prime is 132615861821. The next prime is 132615861841. The reversal of 132615861840 is 48168516231.

132615861840 is a `hidden beast` number, since 1 + 3 + 2 + 61 + 586 + 1 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132615861841) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 27551274 + ... + 27556086.

Almost surely, 2^132615861840 is an apocalyptic number.

132615861840 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 132615861840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286629565248).

132615861840 is an abundant number, since it is smaller than the sum of its proper divisors (440643268656).

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

132615861840 is a wasteful number, since it uses less digits than its factorization.

132615861840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4928 (or 4912 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 132615861840 in words is "one hundred thirty-two billion, six hundred fifteen million, eight hundred sixty-one thousand, eight hundred forty".