13785300 has 162 divisors, whose sum is σ = 46766538. Its totient is φ = 3394560.

The previous prime is 13785293. The next prime is 13785301. The reversal of 13785300 is 358731.

It can be written as a sum of positive squares in 9 ways, for example, as 213444 + 13571856 = 462^2 + 3684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13785301) 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 53 ways as a sum of consecutive naturals, for example, 260074 + ... + 260126.

Almost surely, 2^13785300 is an apocalyptic number.

13785300 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 13785300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23383269).

13785300 is an abundant number, since it is smaller than the sum of its proper divisors (32981238).

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

13785300 is a wasteful number, since it uses less digits than its factorization.

13785300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13785300 is about 3712.8560435331. The cubic root of 13785300 is about 239.7758323521.

The spelling of 13785300 in words is "thirteen million, seven hundred eighty-five thousand, three hundred".