126419940 has 120 divisors (see below), whose sum is σ = 402392760. Its totient is φ = 33219072.

The previous prime is 126419927. The next prime is 126419959. The reversal of 126419940 is 49914621.

It is a happy number.

126419940 is a `hidden beast` number, since 1 + 2 + 641 + 9 + 9 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14017536 + 112402404 = 3744^2 + 10602^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 126419895 and 126419904.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117726 + ... + 118794.

It is an arithmetic number, because the mean of its divisors is an integer number (3353273).

Almost surely, 2^126419940 is an apocalyptic number.

126419940 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 126419940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201196380).

126419940 is an abundant number, since it is smaller than the sum of its proper divisors (275972820).

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

126419940 is a wasteful number, since it uses less digits than its factorization.

126419940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 126419940 is about 11243.6622147768. The cubic root of 126419940 is about 501.8861294185.

The spelling of 126419940 in words is "one hundred twenty-six million, four hundred nineteen thousand, nine hundred forty".