13740831104 has 128 divisors (see below), whose sum is σ = 36754663680. Its totient is φ = 4941711360.

The previous prime is 13740831101. The next prime is 13740831113. The reversal of 13740831104 is 40113804731.

13740831104 = 127² + 128² + ... + 3454².

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13740831101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74507 + ... + 181749.

It is an arithmetic number, because the mean of its divisors is an integer number (287145810).

Almost surely, 2^13740831104 is an apocalyptic number.

13740831104 is a gapful number since it is divisible by the number (14) 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 13740831104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18377331840).

13740831104 is an abundant number, since it is smaller than the sum of its proper divisors (23013832576).

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

13740831104 is a wasteful number, since it uses less digits than its factorization.

13740831104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107288 (or 107276 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 13740831104 in words is "thirteen billion, seven hundred forty million, eight hundred thirty-one thousand, one hundred four".