126893040165 has 48 divisors (see below), whose sum is σ = 224171990640. Its totient is φ = 66377425920.

The previous prime is 126893040163. The next prime is 126893040173. The reversal of 126893040165 is 561040398621.

It can be written as a sum of positive squares in 8 ways, for example, as 12031018596 + 114862021569 = 109686^2 + 338913^2 .

It is not a de Polignac number, because 126893040165 - 2¹ = 126893040163 is a prime.

It is a super-2 number, since 2×126893040165² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 126893040165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126893040161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9249331 + ... + 9263039.

It is an arithmetic number, because the mean of its divisors is an integer number (4670249805).

Almost surely, 2^126893040165 is an apocalyptic number.

126893040165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126893040165 is a deficient number, since it is larger than the sum of its proper divisors (97278950475).

126893040165 is a wasteful number, since it uses less digits than its factorization.

126893040165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17654 (or 17651 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 126893040165 in words is "one hundred twenty-six billion, eight hundred ninety-three million, forty thousand, one hundred sixty-five".