132466298400 has 1008 divisors, whose sum is σ = 531164003328. Its totient is φ = 32099328000.

The previous prime is 132466298357. The next prime is 132466298429. The reversal of 132466298400 is 4892664231.

132466298400 is a `hidden beast` number, since 13 + 2 + 4 + 6 + 629 + 8 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 307346185 + ... + 307346615.

It is an arithmetic number, because the mean of its divisors is an integer number (526948416).

Almost surely, 2^132466298400 is an apocalyptic number.

132466298400 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 132466298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265582001664).

132466298400 is an abundant number, since it is smaller than the sum of its proper divisors (398697704928).

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

132466298400 is a wasteful number, since it uses less digits than its factorization.

132466298400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 132466298400 in words is "one hundred thirty-two billion, four hundred sixty-six million, two hundred ninety-eight thousand, four hundred".