126400540 has 144 divisors (see below), whose sum is σ = 333353664. Its totient is φ = 39398400.

The previous prime is 126400523. The next prime is 126400541. The reversal of 126400540 is 45004621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126400541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2072110 + ... + 2072170.

It is an arithmetic number, because the mean of its divisors is an integer number (2314956).

Almost surely, 2^126400540 is an apocalyptic number.

126400540 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 126400540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166676832).

126400540 is an abundant number, since it is smaller than the sum of its proper divisors (206953124).

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

126400540 is a wasteful number, since it uses less digits than its factorization.

126400540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 126400540 is about 11242.7994734408. The cubic root of 126400540 is about 501.8604554913.

The spelling of 126400540 in words is "one hundred twenty-six million, four hundred thousand, five hundred forty".