132295379328 has 640 divisors, whose sum is σ = 469193472000. Its totient is φ = 36204392448.

The previous prime is 132295379327. The next prime is 132295379401. The reversal of 132295379328 is 823973592231.

132295379328 is a `hidden beast` number, since 13 + 2 + 2 + 9 + 537 + 93 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132295379327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 503024125 + ... + 503024387.

It is an arithmetic number, because the mean of its divisors is an integer number (733114800).

Almost surely, 2^132295379328 is an apocalyptic number.

132295379328 is a gapful number since it is divisible by the number (18) 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 132295379328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234596736000).

132295379328 is an abundant number, since it is smaller than the sum of its proper divisors (336898092672).

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

132295379328 is a wasteful number, since it uses less digits than its factorization.

132295379328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 543 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 132295379328 in words is "one hundred thirty-two billion, two hundred ninety-five million, three hundred seventy-nine thousand, three hundred twenty-eight".