132654412800 has 2640 divisors, whose sum is σ = 653576640640. Its totient is φ = 25798901760.

The previous prime is 132654412799. The next prime is 132654412811. The reversal of 132654412800 is 8214456231.

It is a happy number.

132654412800 is a `hidden beast` number, since 1 + 3 + 26 + 544 + 12 + 80 + 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 239 ways as a sum of consecutive naturals, for example, 3585254382 + ... + 3585254418.

Almost surely, 2^132654412800 is an apocalyptic number.

132654412800 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 132654412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326788320320).

132654412800 is an abundant number, since it is smaller than the sum of its proper divisors (520922227840).

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

132654412800 is a wasteful number, since it uses less digits than its factorization.

132654412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 132654412800 in words is "one hundred thirty-two billion, six hundred fifty-four million, four hundred twelve thousand, eight hundred".