126167040 has 216 divisors, whose sum is σ = 449409870. Its totient is φ = 32735232.

The previous prime is 126167039. The next prime is 126167057. The reversal of 126167040 is 40761621.

126167040 is a `hidden beast` number, since 1 + 2 + 616 + 7 + 0 + 40 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 126157824 + 9216 = 11232^2 + 96^2 .

It is a junction number, because it is equal to n+sod(n) for n = 126166995 and 126167013.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3409902 + ... + 3409938.

Almost surely, 2^126167040 is an apocalyptic number.

126167040 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 126167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224704935).

126167040 is an abundant number, since it is smaller than the sum of its proper divisors (323242830).

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

126167040 is an equidigital number, since it uses as much as digits as its factorization.

126167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 126167040 is about 11232.4102489181. The cubic root of 126167040 is about 501.5512356919.

The spelling of 126167040 in words is "one hundred twenty-six million, one hundred sixty-seven thousand, forty".