132352535525040 has 240 divisors, whose sum is σ = 458854932357120. Its totient is φ = 34153050677760.

The previous prime is 132352535525033. The next prime is 132352535525081. The reversal of 132352535525040 is 40525535253231.

132352535525040 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 5 + 2 + 5 + 3 + 552 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322966509 + ... + 323376051.

It is an arithmetic number, because the mean of its divisors is an integer number (1911895551488).

Almost surely, 2^{132352535525040} is an apocalyptic number.

132352535525040 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 132352535525040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229427466178560).

132352535525040 is an abundant number, since it is smaller than the sum of its proper divisors (326502396832080).

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

132352535525040 is a wasteful number, since it uses less digits than its factorization.

132352535525040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424072 (or 424063 counting only the distinct ones).

The product of its (nonzero) digits is 2700000, while the sum is 45.

The spelling of 132352535525040 in words is "one hundred thirty-two trillion, three hundred fifty-two billion, five hundred thirty-five million, five hundred twenty-five thousand, forty".