132312950784 has 576 divisors, whose sum is σ = 466389705600. Its totient is φ = 35276193792.

The previous prime is 132312950779. The next prime is 132312950879. The reversal of 132312950784 is 487059213231.

It is a happy number.

132312950784 is a `hidden beast` number, since 1 + 32 + 31 + 2 + 9 + 507 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392619864 + ... + 392620200.

It is an arithmetic number, because the mean of its divisors is an integer number (809704350).

Almost surely, 2^132312950784 is an apocalyptic number.

132312950784 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 132312950784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233194852800).

132312950784 is an abundant number, since it is smaller than the sum of its proper divisors (334076754816).

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

132312950784 is a wasteful number, since it uses less digits than its factorization.

132312950784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 132312950784 in words is "one hundred thirty-two billion, three hundred twelve million, nine hundred fifty thousand, seven hundred eighty-four".