13742800 has 120 divisors (see below), whose sum is σ = 36533376. Its totient is φ = 4945920.

The previous prime is 13742777. The next prime is 13742803. The reversal of 13742800 is 824731.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13742803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292377 + ... + 292423.

Almost surely, 2^13742800 is an apocalyptic number.

13742800 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 13742800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18266688).

13742800 is an abundant number, since it is smaller than the sum of its proper divisors (22790576).

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

13742800 is a wasteful number, since it uses less digits than its factorization.

13742800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 13742800 is about 3707.1282686198. The cubic root of 13742800 is about 239.5291695244.

It can be divided in two parts, 137 and 42800, that multiplied together give a triangular number (5863600 = T₃₄₂₄).

The spelling of 13742800 in words is "thirteen million, seven hundred forty-two thousand, eight hundred".