126504240 has 80 divisors (see below), whose sum is σ = 398638176. Its totient is φ = 33177600.

The previous prime is 126504227. The next prime is 126504253. The reversal of 126504240 is 42405621.

126504240 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (126504227) and next prime (126504253).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 126504240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10320 + ... + 18960.

Almost surely, 2^126504240 is an apocalyptic number.

126504240 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 126504240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199319088).

126504240 is an abundant number, since it is smaller than the sum of its proper divisors (272133936).

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

126504240 is a wasteful number, since it uses less digits than its factorization.

126504240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8718 (or 8712 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 126504240 is about 11247.4103686137. The cubic root of 126504240 is about 501.9976614019.

Adding to 126504240 its reverse (42405621), we get a palindrome (168909861).

The spelling of 126504240 in words is "one hundred twenty-six million, five hundred four thousand, two hundred forty".