133672400 has 60 divisors (see below), whose sum is σ = 323726304. Its totient is φ = 53040000.

The previous prime is 133672369. The next prime is 133672421. The reversal of 133672400 is 4276331.

133672400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 133672400.

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, 51125 + ... + 53675.

Almost surely, 2^133672400 is an apocalyptic number.

133672400 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 133672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161863152).

133672400 is an abundant number, since it is smaller than the sum of its proper divisors (190053904).

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

133672400 is a wasteful number, since it uses less digits than its factorization.

133672400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 133672400 is about 11561.6780788949. The cubic root of 133672400 is about 511.3056383395.

The spelling of 133672400 in words is "one hundred thirty-three million, six hundred seventy-two thousand, four hundred".