132067456400 has 240 divisors, whose sum is σ = 353669649408. Its totient is φ = 46984704000.

The previous prime is 132067456397. The next prime is 132067456457. The reversal of 132067456400 is 4654760231.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121496657 + ... + 121497743.

Almost surely, 2^132067456400 is an apocalyptic number.

132067456400 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 132067456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176834824704).

132067456400 is an abundant number, since it is smaller than the sum of its proper divisors (221602193008).

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

132067456400 is a wasteful number, since it uses less digits than its factorization.

132067456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 132067456400 in words is "one hundred thirty-two billion, sixty-seven million, four hundred fifty-six thousand, four hundred".