13129848 has 72 divisors (see below), whose sum is σ = 37834680. Its totient is φ = 4112640.

The previous prime is 13129841. The next prime is 13129861. The reversal of 13129848 is 84892131.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13129841) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20493 + ... + 21123.

Almost surely, 2^13129848 is an apocalyptic number.

13129848 is a gapful number since it is divisible by the number (18) 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 13129848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18917340).

13129848 is an abundant number, since it is smaller than the sum of its proper divisors (24704832).

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

13129848 is a wasteful number, since it uses less digits than its factorization.

13129848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 653 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 13129848 is about 3623.5132123396. The cubic root of 13129848 is about 235.9137384634.

The spelling of 13129848 in words is "thirteen million, one hundred twenty-nine thousand, eight hundred forty-eight".