13787130 has 96 divisors (see below), whose sum is σ = 39299904. Its totient is φ = 3085824.

The previous prime is 13787113. The next prime is 13787149. The reversal of 13787130 is 3178731.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 121954 + ... + 122066.

It is an arithmetic number, because the mean of its divisors is an integer number (409374).

Almost surely, 2^13787130 is an apocalyptic number.

13787130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13787130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19649952).

13787130 is an abundant number, since it is smaller than the sum of its proper divisors (25512774).

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

13787130 is a wasteful number, since it uses less digits than its factorization.

13787130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 13787130 is about 3713.1024763666. The cubic root of 13787130 is about 239.7864419715.

The spelling of 13787130 in words is "thirteen million, seven hundred eighty-seven thousand, one hundred thirty".