10147137 has 64 divisors (see below), whose sum is σ = 18923520. Its totient is φ = 4665600.

The previous prime is 10147103. The next prime is 10147141. The reversal of 10147137 is 73174101.

It is not a de Polignac number, because 10147137 - 2¹⁴ = 10130753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10147037) 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 63 ways as a sum of consecutive naturals, for example, 93039 + ... + 93147.

It is an arithmetic number, because the mean of its divisors is an integer number (295680).

Almost surely, 2^10147137 is an apocalyptic number.

It is an amenable number.

10147137 is a deficient number, since it is larger than the sum of its proper divisors (8776383).

10147137 is a wasteful number, since it uses less digits than its factorization.

10147137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174.

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 10147137 is about 3185.4571100550. The cubic root of 10147137 is about 216.4949853674.

The spelling of 10147137 in words is "ten million, one hundred forty-seven thousand, one hundred thirty-seven".