10135737 has 12 divisors (see below), whose sum is σ = 14704404. Its totient is φ = 6727680.

The previous prime is 10135681. The next prime is 10135771. The reversal of 10135737 is 73753101.

10135737 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8856576 + 1279161 = 2976^2 + 1131^2 .

It is not a de Polignac number, because 10135737 - 2¹⁵ = 10102969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10135737.

It is not an unprimeable number, because it can be changed into a prime (10135337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168 + ... + 4505.

It is an arithmetic number, because the mean of its divisors is an integer number (1225367).

Almost surely, 2^10135737 is an apocalyptic number.

It is an amenable number.

10135737 is a deficient number, since it is larger than the sum of its proper divisors (4568667).

10135737 is a wasteful number, since it uses less digits than its factorization.

10135737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4920 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 10135737 is about 3183.6672250724. The cubic root of 10135737 is about 216.4138798081.

Adding to 10135737 its reverse (73753101), we get a palindrome (83888838).

The spelling of 10135737 in words is "ten million, one hundred thirty-five thousand, seven hundred thirty-seven".