133431800 has 48 divisors (see below), whose sum is σ = 312208440. Its totient is φ = 53032320.

The previous prime is 133431797. The next prime is 133431811. The reversal of 133431800 is 8134331.

It is a happy number.

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, 30554 + ... + 34646.

Almost surely, 2^133431800 is an apocalyptic number.

133431800 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 133431800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156104220).

133431800 is an abundant number, since it is smaller than the sum of its proper divisors (178776640).

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

133431800 is a wasteful number, since it uses less digits than its factorization.

133431800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4272 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 133431800 is about 11551.2683286295. The cubic root of 133431800 is about 510.9986838762.

The spelling of 133431800 in words is "one hundred thirty-three million, four hundred thirty-one thousand, eight hundred".