132084023760 has 800 divisors, whose sum is σ = 524138452992. Its totient is φ = 30591406080.

The previous prime is 132084023749. The next prime is 132084023767. The reversal of 132084023760 is 67320480231.

It is a happy number.

132084023760 is a `hidden beast` number, since 1 + 320 + 8 + 40 + 237 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132084023767) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 96622597 + ... + 96623963.

Almost surely, 2^132084023760 is an apocalyptic number.

132084023760 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 132084023760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262069226496).

132084023760 is an abundant number, since it is smaller than the sum of its proper divisors (392054429232).

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

132084023760 is a wasteful number, since it uses less digits than its factorization.

132084023760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 132084023760 in words is "one hundred thirty-two billion, eighty-four million, twenty-three thousand, seven hundred sixty".