13834152 has 80 divisors (see below), whose sum is σ = 39864660. Its totient is φ = 4478976.

The previous prime is 13834151. The next prime is 13834159. The reversal of 13834152 is 25143831.

It is a happy number.

13834152 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9696996 + 4137156 = 3114^2 + 2034^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13834151) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23688 + ... + 24264.

Almost surely, 2^13834152 is an apocalyptic number.

13834152 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 13834152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19932330).

13834152 is an abundant number, since it is smaller than the sum of its proper divisors (26030508).

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

13834152 is a wasteful number, since it uses less digits than its factorization.

13834152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 619 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 13834152 is about 3719.4289884336. The cubic root of 13834152 is about 240.0587356244.

Adding to 13834152 its reverse (25143831), we get a palindrome (38977983).

The spelling of 13834152 in words is "thirteen million, eight hundred thirty-four thousand, one hundred fifty-two".