132768838400 has 216 divisors, whose sum is σ = 377370638400. Its totient is φ = 45738086400.

The previous prime is 132768838357. The next prime is 132768838451. The reversal of 132768838400 is 4838867231.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1287971 + ... + 1387229.

Almost surely, 2^132768838400 is an apocalyptic number.

132768838400 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 132768838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188685319200).

132768838400 is an abundant number, since it is smaller than the sum of its proper divisors (244601800000).

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

132768838400 is a wasteful number, since it uses less digits than its factorization.

132768838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99315 (or 99296 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 132768838400 in words is "one hundred thirty-two billion, seven hundred sixty-eight million, eight hundred thirty-eight thousand, four hundred".