7149000 has 64 divisors (see below), whose sum is σ = 22314240. Its totient is φ = 1905600.

The previous prime is 7148989. The next prime is 7149007. The reversal of 7149000 is 9417.

7149000 = T₁₀₃ + T₁₀₄ + ... + T₃₅₂.

It is a super-2 number, since 2×7149000² = 102216402000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7149007) 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 15 ways as a sum of consecutive naturals, for example, 1809 + ... + 4191.

It is an arithmetic number, because the mean of its divisors is an integer number (348660).

Almost surely, 2^7149000 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 7149000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11157120).

7149000 is an abundant number, since it is smaller than the sum of its proper divisors (15165240).

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

7149000 is a wasteful number, since it uses less digits than its factorization.

7149000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 7149000 is about 2673.7613954876. The cubic root of 7149000 is about 192.6408706312.

The spelling of 7149000 in words is "seven million, one hundred forty-nine thousand".