6007008137 has 16 divisors (see below), whose sum is σ = 6819812160. Its totient is φ = 5245186752.

The previous prime is 6007008121. The next prime is 6007008151. The reversal of 6007008137 is 7318007006.

It is a happy number.

It is not a de Polignac number, because 6007008137 - 2⁴ = 6007008121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6007008737) 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, 149258 + ... + 185180.

It is an arithmetic number, because the mean of its divisors is an integer number (426238260).

Almost surely, 2^6007008137 is an apocalyptic number.

It is an amenable number.

6007008137 is a deficient number, since it is larger than the sum of its proper divisors (812804023).

6007008137 is a wasteful number, since it uses less digits than its factorization.

6007008137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36632.

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 6007008137 is about 77504.8910521136. The cubic root of 6007008137 is about 1817.8277970078.

The spelling of 6007008137 in words is "six billion, seven million, eight thousand, one hundred thirty-seven".