13740751200 has 288 divisors, whose sum is σ = 48994364160. Its totient is φ = 3317299200.

The previous prime is 13740751183. The next prime is 13740751201. The reversal of 13740751200 is 215704731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13740751201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7311861 + ... + 7313739.

It is an arithmetic number, because the mean of its divisors is an integer number (170119320).

Almost surely, 2^13740751200 is an apocalyptic number.

13740751200 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 13740751200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24497182080).

13740751200 is an abundant number, since it is smaller than the sum of its proper divisors (35253612960).

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

13740751200 is a wasteful number, since it uses less digits than its factorization.

13740751200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The spelling of 13740751200 in words is "thirteen billion, seven hundred forty million, seven hundred fifty-one thousand, two hundred".