132249754080 has 384 divisors, whose sum is σ = 470292480000. Its totient is φ = 34704543744.

The previous prime is 132249754067. The next prime is 132249754097. The reversal of 132249754080 is 80457942231.

132249754080 is a `hidden beast` number, since 1 + 3 + 2 + 24 + 9 + 7 + 540 + 80 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 163472716 + ... + 163473524.

It is an arithmetic number, because the mean of its divisors is an integer number (1224720000).

Almost surely, 2^132249754080 is an apocalyptic number.

132249754080 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 132249754080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235146240000).

132249754080 is an abundant number, since it is smaller than the sum of its proper divisors (338042725920).

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

132249754080 is a wasteful number, since it uses less digits than its factorization.

132249754080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 132249754080 in words is "one hundred thirty-two billion, two hundred forty-nine million, seven hundred fifty-four thousand, eighty".