133876800 has 210 divisors, whose sum is σ = 492573818. Its totient is φ = 35665920.

The previous prime is 133876763. The next prime is 133876807. The reversal of 133876800 is 8678331.

It can be written as a sum of positive squares in 3 ways, for example, as 36578304 + 97298496 = 6048^2 + 9864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133876807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129084 + ... + 130116.

Almost surely, 2^133876800 is an apocalyptic number.

133876800 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 133876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246286909).

133876800 is an abundant number, since it is smaller than the sum of its proper divisors (358697018).

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

133876800 is a wasteful number, since it uses less digits than its factorization.

133876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 133876800 is about 11570.5142495915. The cubic root of 133876800 is about 511.5661200548.

The spelling of 133876800 in words is "one hundred thirty-three million, eight hundred seventy-six thousand, eight hundred".