130833144 has 192 divisors, whose sum is σ = 410941440. Its totient is φ = 38724480.

The previous prime is 130833127. The next prime is 130833163. The reversal of 130833144 is 441338031.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 783349 + ... + 783515.

It is an arithmetic number, because the mean of its divisors is an integer number (2140320).

Almost surely, 2^130833144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130833144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205470720).

130833144 is an abundant number, since it is smaller than the sum of its proper divisors (280108296).

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

130833144 is a wasteful number, since it uses less digits than its factorization.

130833144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

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

The square root of 130833144 is about 11438.2316815144. The cubic root of 130833144 is about 507.6595875925.

The spelling of 130833144 in words is "one hundred thirty million, eight hundred thirty-three thousand, one hundred forty-four".