13142190 has 64 divisors (see below), whose sum is σ = 33950016. Its totient is φ = 3244032.

The previous prime is 13142189. The next prime is 13142197. The reversal of 13142190 is 9124131.

It is a super-2 number, since 2×13142190² = 345434315992200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37054 + ... + 37406.

It is an arithmetic number, because the mean of its divisors is an integer number (530469).

Almost surely, 2^13142190 is an apocalyptic number.

13142190 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 13142190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16975008).

13142190 is an abundant number, since it is smaller than the sum of its proper divisors (20807826).

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

13142190 is a wasteful number, since it uses less digits than its factorization.

13142190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 13142190 is about 3625.2158556423. The cubic root of 13142190 is about 235.9876346102.

The spelling of 13142190 in words is "thirteen million, one hundred forty-two thousand, one hundred ninety".