133830144 has 200 divisors, whose sum is σ = 457501968. Its totient is φ = 38154240.

The previous prime is 133830139. The next prime is 133830149. The reversal of 133830144 is 441038331.

It is an interprime number because it is at equal distance from previous prime (133830139) and next prime (133830149).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133830149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 290074 + ... + 290534.

Almost surely, 2^133830144 is an apocalyptic number.

133830144 is a gapful number since it is divisible by the number (14) 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 133830144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228750984).

133830144 is an abundant number, since it is smaller than the sum of its proper divisors (323671824).

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

133830144 is an frugal number, since it uses more digits than its factorization.

133830144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 133830144 is about 11568.4979145955. The cubic root of 133830144 is about 511.5066863016.

Adding to 133830144 its reverse (441038331), we get a palindrome (574868475).

The spelling of 133830144 in words is "one hundred thirty-three million, eight hundred thirty thousand, one hundred forty-four".