132355814400 has 1320 divisors, whose sum is σ = 530723888640. Its totient is φ = 32514048000.

The previous prime is 132355814399. The next prime is 132355814419. The reversal of 132355814400 is 4418553231.

132355814400 is a `hidden beast` number, since 1 + 3 + 2 + 35 + 581 + 4 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1864166365 + ... + 1864166435.

It is an arithmetic number, because the mean of its divisors is an integer number (402063552).

Almost surely, 2^132355814400 is an apocalyptic number.

132355814400 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 132355814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265361944320).

132355814400 is an abundant number, since it is smaller than the sum of its proper divisors (398368074240).

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

132355814400 is a wasteful number, since it uses less digits than its factorization.

132355814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 132355814400 in words is "one hundred thirty-two billion, three hundred fifty-five million, eight hundred fourteen thousand, four hundred".