13610142 has 72 divisors (see below), whose sum is σ = 36972936. Its totient is φ = 3586464.

The previous prime is 13610131. The next prime is 13610153. The reversal of 13610142 is 24101631.

It is a happy number.

13610142 is a `hidden beast` number, since 13 + 610 + 1 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (13610131) and next prime (13610153).

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

It is a congruent number.

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, 10873 + ... + 12059.

It is an arithmetic number, because the mean of its divisors is an integer number (513513).

Almost surely, 2^13610142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13610142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18486468).

13610142 is an abundant number, since it is smaller than the sum of its proper divisors (23362794).

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

13610142 is a wasteful number, since it uses less digits than its factorization.

13610142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1212 counting only the distinct ones).

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

The square root of 13610142 is about 3689.1925945930. The cubic root of 13610142 is about 238.7559584782.

Adding to 13610142 its reverse (24101631), we get a palindrome (37711773).

The spelling of 13610142 in words is "thirteen million, six hundred ten thousand, one hundred forty-two".