133375200 has 288 divisors, whose sum is σ = 526466304. Its totient is φ = 28631040.

The previous prime is 133375181. The next prime is 133375201. The reversal of 133375200 is 2573331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133375201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285367 + ... + 285833.

It is an arithmetic number, because the mean of its divisors is an integer number (1828008).

Almost surely, 2^133375200 is an apocalyptic number.

133375200 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 133375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263233152).

133375200 is an abundant number, since it is smaller than the sum of its proper divisors (393091104).

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

133375200 is a wasteful number, since it uses less digits than its factorization.

133375200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 133375200 is about 11548.8181213490. The cubic root of 133375200 is about 510.9264207026.

The spelling of 133375200 in words is "one hundred thirty-three million, three hundred seventy-five thousand, two hundred".