13713139200 has 240 divisors, whose sum is σ = 45573864336. Its totient is φ = 3634790400.

The previous prime is 13713139183. The next prime is 13713139217. The reversal of 13713139200 is 293131731.

It is an interprime number because it is at equal distance from previous prime (13713139183) and next prime (13713139217).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6949414 + ... + 6951386.

Almost surely, 2^13713139200 is an apocalyptic number.

13713139200 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 13713139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22786932168).

13713139200 is an abundant number, since it is smaller than the sum of its proper divisors (31860725136).

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

13713139200 is a wasteful number, since it uses less digits than its factorization.

13713139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The spelling of 13713139200 in words is "thirteen billion, seven hundred thirteen million, one hundred thirty-nine thousand, two hundred".