13120146 has 72 divisors (see below), whose sum is σ = 32544720. Its totient is φ = 3807648.

The previous prime is 13120139. The next prime is 13120153. The reversal of 13120146 is 64102131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13120139) and next prime (13120153).

It is a super-2 number, since 2×13120146² = 344276462122632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57685 + ... + 57911.

It is an arithmetic number, because the mean of its divisors is an integer number (452010).

Almost surely, 2^13120146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13120146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16272360).

13120146 is an abundant number, since it is smaller than the sum of its proper divisors (19424574).

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

13120146 is a wasteful number, since it uses less digits than its factorization.

13120146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13120146 is about 3622.1742089524. The cubic root of 13120146 is about 235.8556164633.

Adding to 13120146 its reverse (64102131), we get a palindrome (77222277).

The spelling of 13120146 in words is "thirteen million, one hundred twenty thousand, one hundred forty-six".