132878182752 has 360 divisors, whose sum is σ = 469271880000. Its totient is φ = 36739422720.

The previous prime is 132878182741. The next prime is 132878182777. The reversal of 132878182752 is 257281878231.

It is a happy number.

132878182752 is a `hidden beast` number, since 1 + 328 + 78 + 182 + 75 + 2 = 666.

It is a super-2 number, since 2×132878182752² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3920374 + ... + 3954122.

It is an arithmetic number, because the mean of its divisors is an integer number (1303533000).

Almost surely, 2^132878182752 is an apocalyptic number.

132878182752 is a gapful number since it is divisible by the number (12) 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 132878182752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234635940000).

132878182752 is an abundant number, since it is smaller than the sum of its proper divisors (336393697248).

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

132878182752 is a wasteful number, since it uses less digits than its factorization.

132878182752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33816 (or 33792 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 54.

The spelling of 132878182752 in words is "one hundred thirty-two billion, eight hundred seventy-eight million, one hundred eighty-two thousand, seven hundred fifty-two".