132450166696800 has 288 divisors, whose sum is σ = 434566177984512. Its totient is φ = 35038208378880.

The previous prime is 132450166696699. The next prime is 132450166696801. The reversal of 132450166696800 is 8696661054231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132450166696801) 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, 4007189074 + ... + 4007222126.

It is an arithmetic number, because the mean of its divisors is an integer number (1508910340224).

Almost surely, 2^{132450166696800} is an apocalyptic number.

132450166696800 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 132450166696800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217283088992256).

132450166696800 is an abundant number, since it is smaller than the sum of its proper divisors (302116011287712).

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

132450166696800 is a wasteful number, since it uses less digits than its factorization.

132450166696800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46350 (or 46337 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 132450166696800 in words is "one hundred thirty-two trillion, four hundred fifty billion, one hundred sixty-six million, six hundred ninety-six thousand, eight hundred".