132865427731680 has 384 divisors, whose sum is σ = 531506533017600. Its totient is φ = 30366679375872.

The previous prime is 132865427731637. The next prime is 132865427731681. The reversal of 132865427731680 is 86137724568231.

It is a happy number.

132865427731680 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 6 + 542 + 7 + 7 + 3 + 1 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132865427731681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 370653976 + ... + 371012264.

It is an arithmetic number, because the mean of its divisors is an integer number (1384131596400).

Almost surely, 2^{132865427731680} is an apocalyptic number.

132865427731680 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 132865427731680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265753266508800).

132865427731680 is an abundant number, since it is smaller than the sum of its proper divisors (398641105285920).

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

132865427731680 is a wasteful number, since it uses less digits than its factorization.

132865427731680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370583 (or 370569 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 132865427731680 in words is "one hundred thirty-two trillion, eight hundred sixty-five billion, four hundred twenty-seven million, seven hundred thirty-one thousand, six hundred eighty".