7137936 has 160 divisors (see below), whose sum is σ = 23331840. Its totient is φ = 2073600.

The previous prime is 7137913. The next prime is 7137947. The reversal of 7137936 is 6397317.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 7137936.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 174076 + ... + 174116.

It is an arithmetic number, because the mean of its divisors is an integer number (145824).

Almost surely, 2^7137936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7137936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11665920).

7137936 is an abundant number, since it is smaller than the sum of its proper divisors (16193904).

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

7137936 is a wasteful number, since it uses less digits than its factorization.

7137936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its digits is 23814, while the sum is 36.

The square root of 7137936 is about 2671.6915989687. The cubic root of 7137936 is about 192.5414404514.

It can be divided in two parts, 713 and 7936, that added together give a square (8649 = 93²).

The spelling of 7137936 in words is "seven million, one hundred thirty-seven thousand, nine hundred thirty-six".