132214650464100 has 144 divisors (see below), whose sum is σ = 402710460783680. Its totient is φ = 33398637465600.

The previous prime is 132214650464021. The next prime is 132214650464101. The reversal of 132214650464100 is 1464056412231.

It is not an unprimeable number, because it can be changed into a prime (132214650464101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63690540 + ... + 65733660.

Almost surely, 2^{132214650464100} is an apocalyptic number.

132214650464100 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 132214650464100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201355230391840).

132214650464100 is an abundant number, since it is smaller than the sum of its proper divisors (270495810319580).

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

132214650464100 is a wasteful number, since it uses less digits than its factorization.

132214650464100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054510 (or 2054503 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 132214650464100 in words is "one hundred thirty-two trillion, two hundred fourteen billion, six hundred fifty million, four hundred sixty-four thousand, one hundred".