133094400 has 132 divisors (see below), whose sum is σ = 440137752. Its totient is φ = 35471360.

The previous prime is 133094393. The next prime is 133094447. The reversal of 133094400 is 4490331.

It is a super-2 number, since 2×133094400² = 35428238622720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 75934 + ... + 77666.

Almost surely, 2^133094400 is an apocalyptic number.

133094400 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 133094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220068876).

133094400 is an abundant number, since it is smaller than the sum of its proper divisors (307043352).

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

133094400 is a wasteful number, since it uses less digits than its factorization.

133094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 133094400 is about 11536.6546277506. The cubic root of 133094400 is about 510.5676110192.

The spelling of 133094400 in words is "one hundred thirty-three million, ninety-four thousand, four hundred".