132648927258384 has 640 divisors, whose sum is σ = 406686473256960. Its totient is φ = 41825461708800.

The previous prime is 132648927258319. The next prime is 132648927258401. The reversal of 132648927258384 is 483852729846231.

It is a happy number.

132648927258384 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 48 + 92 + 72 + 58 + 384 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34445318059 + ... + 34445321909.

It is an arithmetic number, because the mean of its divisors is an integer number (635447614464).

Almost surely, 2^{132648927258384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132648927258384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203343236628480).

132648927258384 is an abundant number, since it is smaller than the sum of its proper divisors (274037545998576).

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

132648927258384 is a wasteful number, since it uses less digits than its factorization.

132648927258384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367 (or 4343 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 132648927258384 in words is "one hundred thirty-two trillion, six hundred forty-eight billion, nine hundred twenty-seven million, two hundred fifty-eight thousand, three hundred eighty-four".