133131400 has 48 divisors (see below), whose sum is σ = 311224500. Its totient is φ = 52961280.

The previous prime is 133131379. The next prime is 133131413. The reversal of 133131400 is 4131331.

It can be written as a sum of positive squares in 6 ways, for example, as 3034564 + 130096836 = 1742^2 + 11406^2 .

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, 36876 + ... + 40324.

Almost surely, 2^133131400 is an apocalyptic number.

133131400 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 133131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155612250).

133131400 is an abundant number, since it is smaller than the sum of its proper divisors (178093100).

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

133131400 is a wasteful number, since it uses less digits than its factorization.

133131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3658 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 133131400 is about 11538.2581007707. The cubic root of 133131400 is about 510.6149189232.

Adding to 133131400 its reverse (4131331), we get a palindrome (137262731).

The spelling of 133131400 in words is "one hundred thirty-three million, one hundred thirty-one thousand, four hundred".