13739134032 has 320 divisors, whose sum is σ = 44697139200. Its totient is φ = 4011171840.

The previous prime is 13739134027. The next prime is 13739134037. The reversal of 13739134032 is 23043193731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13739134027) and next prime (13739134037).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13739134037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9226344 + ... + 9227832.

It is an arithmetic number, because the mean of its divisors is an integer number (139678560).

Almost surely, 2^13739134032 is an apocalyptic number.

13739134032 is a gapful number since it is divisible by the number (12) 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 13739134032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22348569600).

13739134032 is an abundant number, since it is smaller than the sum of its proper divisors (30958005168).

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

13739134032 is a wasteful number, since it uses less digits than its factorization.

13739134032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 13739134032 in words is "thirteen billion, seven hundred thirty-nine million, one hundred thirty-four thousand, thirty-two".