126013440 has 208 divisors, whose sum is σ = 462365568. Its totient is φ = 28704768.

The previous prime is 126013423. The next prime is 126013441. The reversal of 126013440 is 44310621.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126013441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429934 + ... + 430226.

Almost surely, 2^126013440 is an apocalyptic number.

126013440 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 126013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231182784).

126013440 is an abundant number, since it is smaller than the sum of its proper divisors (336352128).

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

126013440 is an equidigital number, since it uses as much as digits as its factorization.

126013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 126013440 is about 11225.5708095402. The cubic root of 126013440 is about 501.3476179220.

The spelling of 126013440 in words is "one hundred twenty-six million, thirteen thousand, four hundred forty".