13270752 has 144 divisors (see below), whose sum is σ = 42456960. Its totient is φ = 3897600.

The previous prime is 13270729. The next prime is 13270781. The reversal of 13270752 is 25707231.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13270752² = 352225717291008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186877 + ... + 186947.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 2^13270752 is an apocalyptic number.

13270752 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 13270752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480).

13270752 is an abundant number, since it is smaller than the sum of its proper divisors (29186208).

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

13270752 is a wasteful number, since it uses less digits than its factorization.

13270752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 13270752 is about 3642.9043358288. The cubic root of 13270752 is about 236.7546464761.

Adding to 13270752 its reverse (25707231), we get a palindrome (38977983).

The spelling of 13270752 in words is "thirteen million, two hundred seventy thousand, seven hundred fifty-two".