7149382000 has 80 divisors (see below), whose sum is σ = 17613640512. Its totient is φ = 2805753600.

The previous prime is 7149381983. The next prime is 7149382001. The reversal of 7149382000 is 2839417.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×7149382000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7149382001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72277 + ... + 139723.

Almost surely, 2^7149382000 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 7149382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8806820256).

7149382000 is an abundant number, since it is smaller than the sum of its proper divisors (10464258512).

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

7149382000 is a wasteful number, since it uses less digits than its factorization.

7149382000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67523 (or 67507 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 7149382000 is about 84554.0182368644. The cubic root of 7149382000 is about 1926.4430176388.

The spelling of 7149382000 in words is "seven billion, one hundred forty-nine million, three hundred eighty-two thousand".