133251100 has 72 divisors (see below), whose sum is σ = 309542688. Its totient is φ = 49612800.

The previous prime is 133251089. The next prime is 133251101. The reversal of 133251100 is 1152331.

133251100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133251101) 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, 174720 + ... + 175480.

It is an arithmetic number, because the mean of its divisors is an integer number (4299204).

Almost surely, 2^133251100 is an apocalyptic number.

133251100 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 133251100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154771344).

133251100 is an abundant number, since it is smaller than the sum of its proper divisors (176291588).

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

133251100 is a wasteful number, since it uses less digits than its factorization.

133251100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 133251100 is about 11543.4440268059. Note that the first 3 decimals coincide. The cubic root of 133251100 is about 510.7679063649.

The spelling of 133251100 in words is "one hundred thirty-three million, two hundred fifty-one thousand, one hundred".