13142088 has 80 divisors (see below), whose sum is σ = 39007980. Its totient is φ = 4119552.

The previous prime is 13142083. The next prime is 13142111. The reversal of 13142088 is 88024131.

It can be written as a sum of positive squares in 2 ways, for example, as 12830724 + 311364 = 3582^2 + 558^2 .

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 not an unprimeable number, because it can be changed into a prime (13142083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10420 + ... + 11612.

Almost surely, 2^13142088 is an apocalyptic number.

13142088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13142088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19503990).

13142088 is an abundant number, since it is smaller than the sum of its proper divisors (25865892).

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

13142088 is a wasteful number, since it uses less digits than its factorization.

13142088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 13142088 is about 3625.2017874871. The cubic root of 13142088 is about 235.9870240879.

The spelling of 13142088 in words is "thirteen million, one hundred forty-two thousand, eighty-eight".