133872200 has 96 divisors (see below), whose sum is σ = 388100160. Its totient is φ = 41721600.

The previous prime is 133872197. The next prime is 133872203. The reversal of 133872200 is 2278331.

It is an interprime number because it is at equal distance from previous prime (133872197) and next prime (133872203).

It is a self number, because there is not a number n which added to its sum of digits gives 133872200.

It is not an unprimeable number, because it can be changed into a prime (133872203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11054 + ... + 19746.

It is an arithmetic number, because the mean of its divisors is an integer number (4042710).

Almost surely, 2^133872200 is an apocalyptic number.

133872200 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 133872200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194050080).

133872200 is an abundant number, since it is smaller than the sum of its proper divisors (254227960).

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

133872200 is a wasteful number, since it uses less digits than its factorization.

133872200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8727 (or 8718 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 133872200 is about 11570.3154667451. The cubic root of 133872200 is about 511.5602608591.

The spelling of 133872200 in words is "one hundred thirty-three million, eight hundred seventy-two thousand, two hundred".