45106137 has 12 divisors (see below), whose sum is σ = 65223444. Its totient is φ = 30038400.

The previous prime is 45106123. The next prime is 45106157. The reversal of 45106137 is 73160154.

45106137 is a `hidden beast` number, since 45 + 1 + 0 + 613 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11128896 + 33977241 = 3336^2 + 5829^2 .

It is not a de Polignac number, because 45106137 - 2⁴ = 45106121 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45106137.

It is not an unprimeable number, because it can be changed into a prime (45106157) 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, 8637 + ... + 12837.

It is an arithmetic number, because the mean of its divisors is an integer number (5435287).

Almost surely, 2^45106137 is an apocalyptic number.

It is an amenable number.

45106137 is a deficient number, since it is larger than the sum of its proper divisors (20117307).

45106137 is a wasteful number, since it uses less digits than its factorization.

45106137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5400 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 45106137 is about 6716.1102581777. The cubic root of 45106137 is about 355.9687538329.

The spelling of 45106137 in words is "forty-five million, one hundred six thousand, one hundred thirty-seven".