132351920640 has 480 divisors, whose sum is σ = 484279361280. Its totient is φ = 33312964608.

The previous prime is 132351920629. The next prime is 132351920651. The reversal of 132351920640 is 46029153231.

132351920640 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 5 + 1 + 9 + 2 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (132351920629) and next prime (132351920651).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132351920595 and 132351920604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202682554 + ... + 202683206.

It is an arithmetic number, because the mean of its divisors is an integer number (1008915336).

Almost surely, 2^132351920640 is an apocalyptic number.

132351920640 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 132351920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242139680640).

132351920640 is an abundant number, since it is smaller than the sum of its proper divisors (351927440640).

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

132351920640 is a wasteful number, since it uses less digits than its factorization.

132351920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 132351920640 in words is "one hundred thirty-two billion, three hundred fifty-one million, nine hundred twenty thousand, six hundred forty".