126240000 has 180 divisors, whose sum is σ = 421440096. Its totient is φ = 33536000.

The previous prime is 126239983. The next prime is 126240019. The reversal of 126240000 is 42621.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 479869 + ... + 480131.

Almost surely, 2^126240000 is an apocalyptic number.

126240000 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 126240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210720048).

126240000 is an abundant number, since it is smaller than the sum of its proper divisors (295200096).

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

126240000 is an frugal number, since it uses more digits than its factorization.

126240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 126240000 is about 11235.6575241505. The cubic root of 126240000 is about 501.6478962427.

Adding to 126240000 its reverse (42621), we get a palindrome (126282621).

The spelling of 126240000 in words is "one hundred twenty-six million, two hundred forty thousand".