1002008137 has 16 divisors (see below), whose sum is σ = 1112484352. Its totient is φ = 896495040.

The previous prime is 1002008129. The next prime is 1002008141. The reversal of 1002008137 is 7318002001.

It is a cyclic number.

It is not a de Polignac number, because 1002008137 - 2³ = 1002008129 is a prime.

It is a super-2 number, since 2×1002008137² = 2008040613228421538, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002008167) 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, 126508 + ... + 134194.

It is an arithmetic number, because the mean of its divisors is an integer number (69530272).

Almost surely, 2^1002008137 is an apocalyptic number.

It is an amenable number.

1002008137 is a deficient number, since it is larger than the sum of its proper divisors (110476215).

1002008137 is a wasteful number, since it uses less digits than its factorization.

1002008137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8008.

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 1002008137 is about 31654.5121112299. The cubic root of 1002008137 is about 1000.6689314310.

The spelling of 1002008137 in words is "one billion, two million, eight thousand, one hundred thirty-seven".