126864144 has 150 divisors (see below), whose sum is σ = 404095230. Its totient is φ = 38396160.

The previous prime is 126864137. The next prime is 126864163. The reversal of 126864144 is 441468621.

It is a happy number.

126864144 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 641 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 122943744 + 3920400 = 11088^2 + 1980^2 .

It is a super-2 number, since 2×126864144² = 32189022065705472, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 126864099 and 126864108.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 156412 + ... + 157220.

Almost surely, 2^126864144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126864144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202047615).

126864144 is an abundant number, since it is smaller than the sum of its proper divisors (277231086).

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

126864144 is a wasteful number, since it uses less digits than its factorization.

126864144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 825 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 126864144 is about 11263.3984214357. The cubic root of 126864144 is about 502.4732710220.

The spelling of 126864144 in words is "one hundred twenty-six million, eight hundred sixty-four thousand, one hundred forty-four".