13775130 has 64 divisors (see below), whose sum is σ = 37077120. Its totient is φ = 3639168.

The previous prime is 13775107. The next prime is 13775147. The reversal of 13775130 is 3157731.

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 junction number, because it is equal to n+sod(n) for n = 13775094 and 13775103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43854 + ... + 44166.

It is an arithmetic number, because the mean of its divisors is an integer number (579330).

Almost surely, 2^13775130 is an apocalyptic number.

13775130 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 13775130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18538560).

13775130 is an abundant number, since it is smaller than the sum of its proper divisors (23301990).

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

13775130 is a wasteful number, since it uses less digits than its factorization.

13775130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 13775130 is about 3711.4862252203. The cubic root of 13775130 is about 239.7168535818.

The spelling of 13775130 in words is "thirteen million, seven hundred seventy-five thousand, one hundred thirty".