126015440 has 60 divisors (see below), whose sum is σ = 303599244. Its totient is φ = 48642048.

The previous prime is 126015437. The next prime is 126015443. The reversal of 126015440 is 44510621.

It is an interprime number because it is at equal distance from previous prime (126015437) and next prime (126015443).

It can be written as a sum of positive squares in 6 ways, for example, as 15429184 + 110586256 = 3928^2 + 10516^2 .

It is a super-3 number, since 3×126015440³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126015443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66344 + ... + 68216.

Almost surely, 2^126015440 is an apocalyptic number.

126015440 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 126015440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151799622).

126015440 is an abundant number, since it is smaller than the sum of its proper divisors (177583804).

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

126015440 is a wasteful number, since it uses less digits than its factorization.

126015440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 126015440 is about 11225.6598915164. The cubic root of 126015440 is about 501.3502702580.

The spelling of 126015440 in words is "one hundred twenty-six million, fifteen thousand, four hundred forty".