12937152 has 56 divisors (see below), whose sum is σ = 35047936. Its totient is φ = 4209408.

The previous prime is 12937151. The next prime is 12937163. The reversal of 12937152 is 25173921.

It is a super-2 number, since 2×12937152² = 334739803742208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12937151) 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 7 ways as a sum of consecutive naturals, for example, 7473 + ... + 9039.

It is an arithmetic number, because the mean of its divisors is an integer number (625856).

Almost surely, 2^12937152 is an apocalyptic number.

12937152 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 12937152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17523968).

12937152 is an abundant number, since it is smaller than the sum of its proper divisors (22110784).

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

12937152 is a wasteful number, since it uses less digits than its factorization.

12937152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1615 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 12937152 is about 3596.8252668152. The cubic root of 12937152 is about 234.7539419404.

The spelling of 12937152 in words is "twelve million, nine hundred thirty-seven thousand, one hundred fifty-two".