133628400 has 120 divisors (see below), whose sum is σ = 475656560. Its totient is φ = 35631360.

The previous prime is 133628393. The next prime is 133628431. The reversal of 133628400 is 4826331.

It is a happy number.

133628400 is a `hidden beast` number, since 1 + 33 + 628 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 4614 + ... + 16986.

Almost surely, 2^133628400 is an apocalyptic number.

133628400 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 133628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237828280).

133628400 is an abundant number, since it is smaller than the sum of its proper divisors (342028160).

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

133628400 is a wasteful number, since it uses less digits than its factorization.

133628400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12400 (or 12383 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 133628400 is about 11559.7750843172. The cubic root of 133628400 is about 511.2495312275.

It can be divided in two parts, 1 and 33628400, that added together give a square (33628401 = 5799²).

The spelling of 133628400 in words is "one hundred thirty-three million, six hundred twenty-eight thousand, four hundred".