133276800 has 96 divisors (see below), whose sum is σ = 439012080. Its totient is φ = 35537920.

The previous prime is 133276763. The next prime is 133276831. The reversal of 133276800 is 8672331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2659 + ... + 16541.

Almost surely, 2^133276800 is an apocalyptic number.

133276800 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 133276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219506040).

133276800 is an abundant number, since it is smaller than the sum of its proper divisors (305735280).

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

133276800 is a wasteful number, since it uses less digits than its factorization.

133276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13910 (or 13893 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 133276800 is about 11544.5571591118. The cubic root of 133276800 is about 510.8007413443.

The spelling of 133276800 in words is "one hundred thirty-three million, two hundred seventy-six thousand, eight hundred".