126158040 has 128 divisors (see below), whose sum is σ = 423360000. Its totient is φ = 33416064.

The previous prime is 126158009. The next prime is 126158047. The reversal of 126158040 is 40851621.

126158040 is a `hidden beast` number, since 1 + 2 + 615 + 8 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 126157995 and 126158013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126158047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214627 + ... + 215213.

It is an arithmetic number, because the mean of its divisors is an integer number (3307500).

Almost surely, 2^126158040 is an apocalyptic number.

126158040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126158040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680000).

126158040 is an abundant number, since it is smaller than the sum of its proper divisors (297201960).

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

126158040 is a wasteful number, since it uses less digits than its factorization.

126158040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 126158040 is about 11232.0096153805. The cubic root of 126158040 is about 501.5393095226.

The spelling of 126158040 in words is "one hundred twenty-six million, one hundred fifty-eight thousand, forty".