126107520 has 256 divisors, whose sum is σ = 501742080. Its totient is φ = 26173440.

The previous prime is 126107483. The next prime is 126107521. The reversal of 126107520 is 25701621.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126107521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147414 + ... + 148266.

It is an arithmetic number, because the mean of its divisors is an integer number (1959930).

Almost surely, 2^126107520 is an apocalyptic number.

126107520 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 126107520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250871040).

126107520 is an abundant number, since it is smaller than the sum of its proper divisors (375634560).

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

126107520 is a wasteful number, since it uses less digits than its factorization.

126107520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 126107520 is about 11229.7604604907. The cubic root of 126107520 is about 501.4723534284.

The spelling of 126107520 in words is "one hundred twenty-six million, one hundred seven thousand, five hundred twenty".