132528720744 has 384 divisors, whose sum is σ = 433005281280. Its totient is φ = 35825587200.

The previous prime is 132528720679. The next prime is 132528720787. The reversal of 132528720744 is 447027825231.

132528720744 is a `hidden beast` number, since 1 + 32 + 528 + 7 + 20 + 74 + 4 = 666.

It is a super-2 number, since 2×132528720744² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132528720744.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149411869 + ... + 149412755.

It is an arithmetic number, because the mean of its divisors is an integer number (1127617920).

Almost surely, 2^132528720744 is an apocalyptic number.

132528720744 is a gapful number since it is divisible by the number (14) 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 132528720744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216502640640).

132528720744 is an abundant number, since it is smaller than the sum of its proper divisors (300476560536).

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

132528720744 is a wasteful number, since it uses less digits than its factorization.

132528720744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 132528720744 in words is "one hundred thirty-two billion, five hundred twenty-eight million, seven hundred twenty thousand, seven hundred forty-four".