126164115 has 128 divisors (see below), whose sum is σ = 286156800. Its totient is φ = 51217920.

The previous prime is 126164113. The next prime is 126164153. The reversal of 126164115 is 511461621.

126164115 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 641 + 15 = 666.

It is not a de Polignac number, because 126164115 - 2¹ = 126164113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (126164113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 550821 + ... + 551049.

It is an arithmetic number, because the mean of its divisors is an integer number (2235600).

Almost surely, 2^126164115 is an apocalyptic number.

126164115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

126164115 is an abundant number, since it is smaller than the sum of its proper divisors (159992685).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126164115 is a wasteful number, since it uses less digits than its factorization.

126164115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 126164115 is about 11232.2800445858. The cubic root of 126164115 is about 501.5473597491.

The spelling of 126164115 in words is "one hundred twenty-six million, one hundred sixty-four thousand, one hundred fifteen".