13745061200 has 120 divisors (see below), whose sum is σ = 35707777056. Its totient is φ = 5054400000.

The previous prime is 13745061199. The next prime is 13745061229. The reversal of 13745061200 is 216054731.

13745061200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1299935 + ... + 1310465.

Almost surely, 2^13745061200 is an apocalyptic number.

13745061200 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 13745061200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17853888528).

13745061200 is an abundant number, since it is smaller than the sum of its proper divisors (21962715856).

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

13745061200 is a wasteful number, since it uses less digits than its factorization.

13745061200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10813 (or 10802 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The spelling of 13745061200 in words is "thirteen billion, seven hundred forty-five million, sixty-one thousand, two hundred".