132226598400 has 480 divisors, whose sum is σ = 498105181728. Its totient is φ = 30631526400.

The previous prime is 132226598393. The next prime is 132226598477. The reversal of 132226598400 is 4895622231.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8478610 + ... + 8494190.

Almost surely, 2^132226598400 is an apocalyptic number.

132226598400 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 132226598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249052590864).

132226598400 is an abundant number, since it is smaller than the sum of its proper divisors (365878583328).

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

132226598400 is a wasteful number, since it uses less digits than its factorization.

132226598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15642 (or 15621 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 132226598400 in words is "one hundred thirty-two billion, two hundred twenty-six million, five hundred ninety-eight thousand, four hundred".