132689372400 has 1680 divisors, whose sum is σ = 571739031360. Its totient is φ = 29262643200.

The previous prime is 132689372377. The next prime is 132689372419. The reversal of 132689372400 is 4273986231.

132689372400 is a `hidden beast` number, since 1 + 32 + 68 + 93 + 72 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1868864365 + ... + 1868864435.

It is an arithmetic number, because the mean of its divisors is an integer number (340320852).

Almost surely, 2^132689372400 is an apocalyptic number.

132689372400 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 132689372400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285869515680).

132689372400 is an abundant number, since it is smaller than the sum of its proper divisors (439049658960).

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

132689372400 is a wasteful number, since it uses less digits than its factorization.

132689372400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 132689372400 in words is "one hundred thirty-two billion, six hundred eighty-nine million, three hundred seventy-two thousand, four hundred".