13138632 has 64 divisors (see below), whose sum is σ = 39312000. Its totient is φ = 4041792.

The previous prime is 13138591. The next prime is 13138639. The reversal of 13138632 is 23683131.

It is a happy number.

13138632 is a `hidden beast` number, since 13 + 13 + 8 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 13138596 and 13138605.

It is not an unprimeable number, because it can be changed into a prime (13138639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469 + ... + 5147.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 2^13138632 is an apocalyptic number.

13138632 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 13138632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

13138632 is an abundant number, since it is smaller than the sum of its proper divisors (26173368).

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

13138632 is a wasteful number, since it uses less digits than its factorization.

13138632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4707 (or 4697 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 13138632 is about 3624.7250930243. The cubic root of 13138632 is about 235.9663362881.

The spelling of 13138632 in words is "thirteen million, one hundred thirty-eight thousand, six hundred thirty-two".