7138512 has 60 divisors (see below), whose sum is σ = 20238660. Its totient is φ = 2348544.

The previous prime is 7138489. The next prime is 7138513. The reversal of 7138512 is 2158317.

It can be written as a sum of positive squares in 2 ways, for example, as 968256 + 6170256 = 984^2 + 2484^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7138513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12538 + ... + 13094.

It is an arithmetic number, because the mean of its divisors is an integer number (337311).

Almost surely, 2^7138512 is an apocalyptic number.

7138512 is a gapful number since it is divisible by the number (72) 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 7138512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10119330).

7138512 is an abundant number, since it is smaller than the sum of its proper divisors (13100148).

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

7138512 is a wasteful number, since it uses less digits than its factorization.

7138512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 651 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 7138512 is about 2671.7993936671. The cubic root of 7138512 is about 192.5466193942.

It can be divided in two parts, 71 and 38512, that added together give a palindrome (38583).

The spelling of 7138512 in words is "seven million, one hundred thirty-eight thousand, five hundred twelve".