10132137 has 6 divisors (see below), whose sum is σ = 14635322. Its totient is φ = 6754752.

The previous prime is 10132103. The next prime is 10132139. The reversal of 10132137 is 73123101.

10132137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9865881 + 266256 = 3141^2 + 516^2 .

It is not a de Polignac number, because 10132137 - 2¹¹ = 10130089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10132139) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 562888 + ... + 562905.

Almost surely, 2^10132137 is an apocalyptic number.

It is an amenable number.

10132137 is a deficient number, since it is larger than the sum of its proper divisors (4503185).

10132137 is a wasteful number, since it uses less digits than its factorization.

10132137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125799 (or 1125796 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 10132137 is about 3183.1017891359. The cubic root of 10132137 is about 216.3882548922.

Adding to 10132137 its reverse (73123101), we get a palindrome (83255238).

The spelling of 10132137 in words is "ten million, one hundred thirty-two thousand, one hundred thirty-seven".