132249244657920 has 1152 divisors, whose sum is σ = 487851267391488. Its totient is φ = 30276550656000.

The previous prime is 132249244657891. The next prime is 132249244657973. The reversal of 132249244657920 is 29756442942231.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14451885345 + ... + 14451894495.

It is an arithmetic number, because the mean of its divisors is an integer number (423482002944).

Almost surely, 2^{132249244657920} is an apocalyptic number.

132249244657920 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 132249244657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243925633695744).

132249244657920 is an abundant number, since it is smaller than the sum of its proper divisors (355602022733568).

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

132249244657920 is a wasteful number, since it uses less digits than its factorization.

132249244657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9559 (or 9545 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 132249244657920 in words is "one hundred thirty-two trillion, two hundred forty-nine billion, two hundred forty-four million, six hundred fifty-seven thousand, nine hundred twenty".