7137690 has 64 divisors (see below), whose sum is σ = 20079360. Its totient is φ = 1589760.

The previous prime is 7137677. The next prime is 7137703. The reversal of 7137690 is 967317.

It is an interprime number because it is at equal distance from previous prime (7137677) and next prime (7137703).

It is a super-2 number, since 2×7137690² = 101893237072200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 8196 + ... + 9024.

It is an arithmetic number, because the mean of its divisors is an integer number (313740).

Almost surely, 2^7137690 is an apocalyptic number.

7137690 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7137690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10039680).

7137690 is an abundant number, since it is smaller than the sum of its proper divisors (12941670).

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

7137690 is a wasteful number, since it uses less digits than its factorization.

7137690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887.

The product of its (nonzero) digits is 7938, while the sum is 33.

The square root of 7137690 is about 2671.6455603242. The cubic root of 7137690 is about 192.5392285263.

The spelling of 7137690 in words is "seven million, one hundred thirty-seven thousand, six hundred ninety".