13781900 has 108 divisors (see below), whose sum is σ = 35325864. Its totient is φ = 4646400.

The previous prime is 13781893. The next prime is 13781909. The reversal of 13781900 is 918731.

It is a super-2 number, since 2×13781900² = 379881535220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13781909) 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 35 ways as a sum of consecutive naturals, for example, 205667 + ... + 205733.

Almost surely, 2^13781900 is an apocalyptic number.

13781900 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 13781900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17662932).

13781900 is an abundant number, since it is smaller than the sum of its proper divisors (21543964).

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

13781900 is a wasteful number, since it uses less digits than its factorization.

13781900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 13781900 is about 3712.3981467510. The cubic root of 13781900 is about 239.7561179979.

The spelling of 13781900 in words is "thirteen million, seven hundred eighty-one thousand, nine hundred".