133274400 has 144 divisors (see below), whose sum is σ = 495843264. Its totient is φ = 30458880.

The previous prime is 133274399. The next prime is 133274419. The reversal of 133274400 is 4472331.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 12834 + ... + 20766.

It is an arithmetic number, because the mean of its divisors is an integer number (3443356).

Almost surely, 2^133274400 is an apocalyptic number.

133274400 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 133274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247921632).

133274400 is an abundant number, since it is smaller than the sum of its proper divisors (362568864).

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

133274400 is a wasteful number, since it uses less digits than its factorization.

133274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7963 (or 7950 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 133274400 is about 11544.4532135567. The cubic root of 133274400 is about 510.7976752214.

The spelling of 133274400 in words is "one hundred thirty-three million, two hundred seventy-four thousand, four hundred".