13800135 has 16 divisors (see below), whose sum is σ = 22301280. Its totient is φ = 7286400.

The previous prime is 13800131. The next prime is 13800151. The reversal of 13800135 is 53100831.

It is a happy number.

13800135 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13800135 - 2² = 13800131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13800131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3040 + ... + 6069.

It is an arithmetic number, because the mean of its divisors is an integer number (1393830).

Almost surely, 2^13800135 is an apocalyptic number.

13800135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13800135 is a deficient number, since it is larger than the sum of its proper divisors (8501145).

13800135 is a wasteful number, since it uses less digits than its factorization.

13800135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9218.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 13800135 is about 3714.8532945461. The cubic root of 13800135 is about 239.8618128110.

Adding to 13800135 its reverse (53100831), we get a palindrome (66900966).

The spelling of 13800135 in words is "thirteen million, eight hundred thousand, one hundred thirty-five".