13442000 has 160 divisors (see below), whose sum is σ = 38997504. Its totient is φ = 4416000.

The previous prime is 13441963. The next prime is 13442017. The reversal of 13442000 is 24431.

13442000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 285977 + ... + 286023.

Almost surely, 2^13442000 is an apocalyptic number.

13442000 is a gapful number since it is divisible by the number (10) 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 13442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498752).

13442000 is an abundant number, since it is smaller than the sum of its proper divisors (25555504).

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

13442000 is a wasteful number, since it uses less digits than its factorization.

13442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 13442000 is about 3666.3333181804. Note that the first 4 decimals coincide. The cubic root of 13442000 is about 237.7686710215.

Adding to 13442000 its reverse (24431), we get a palindrome (13466431).

Subtracting from 13442000 its reverse (24431), we obtain a square (13417569 = 3663²).

The spelling of 13442000 in words is "thirteen million, four hundred forty-two thousand".