7136948 has 36 divisors (see below), whose sum is σ = 15651972. Its totient is φ = 2822400.

The previous prime is 7136917. The next prime is 7136971. The reversal of 7136948 is 8496317.

It can be written as a sum of positive squares in 2 ways, for example, as 2244004 + 4892944 = 1498^2 + 2212^2 .

It is a zygodrome in base 7.

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 11 ways as a sum of consecutive naturals, for example, 1148 + ... + 3948.

It is an arithmetic number, because the mean of its divisors is an integer number (434777).

Almost surely, 2^7136948 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 7136948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7825986).

7136948 is an abundant number, since it is smaller than the sum of its proper divisors (8515024).

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

7136948 is a wasteful number, since it uses less digits than its factorization.

7136948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2823 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 7136948 is about 2671.5066909892. The cubic root of 7136948 is about 192.5325564771.

It can be divided in two parts, 71369 and 48, that added together give a palindrome (71417).

The spelling of 7136948 in words is "seven million, one hundred thirty-six thousand, nine hundred forty-eight".