132268237891200 has 768 divisors, whose sum is σ = 511573757184000. Its totient is φ = 33281902080000.

The previous prime is 132268237891189. The next prime is 132268237891201. The reversal of 132268237891200 is 2198732862231.

132268237891200 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 68 + 2 + 378 + 9 + 1 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (132268237891201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 411881097 + ... + 412202103.

It is an arithmetic number, because the mean of its divisors is an integer number (666111663000).

Almost surely, 2^{132268237891200} is an apocalyptic number.

132268237891200 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 132268237891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255786878592000).

132268237891200 is an abundant number, since it is smaller than the sum of its proper divisors (379305519292800).

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

132268237891200 is a wasteful number, since it uses less digits than its factorization.

132268237891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321310 (or 321287 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 132268237891200 in words is "one hundred thirty-two trillion, two hundred sixty-eight billion, two hundred thirty-seven million, eight hundred ninety-one thousand, two hundred".