126145440 has 144 divisors (see below), whose sum is σ = 455881608. Its totient is φ = 31653888.

The previous prime is 126145429. The next prime is 126145477. The reversal of 126145440 is 44541621.

126145440 is a `hidden beast` number, since 1 + 2 + 614 + 5 + 4 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 118461456 + 7683984 = 10884^2 + 2772^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21904 + ... + 27056.

Almost surely, 2^126145440 is an apocalyptic number.

126145440 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 126145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227940804).

126145440 is an abundant number, since it is smaller than the sum of its proper divisors (329736168).

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

126145440 is a wasteful number, since it uses less digits than its factorization.

126145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5191 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 126145440 is about 11231.4487044192. The cubic root of 126145440 is about 501.5226119325.

The spelling of 126145440 in words is "one hundred twenty-six million, one hundred forty-five thousand, four hundred forty".