126345520 has 120 divisors (see below), whose sum is σ = 345540384. Its totient is φ = 42835968.

The previous prime is 126345511. The next prime is 126345521. The reversal of 126345520 is 25543621.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (126345521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 654544 + ... + 654736.

Almost surely, 2^126345520 is an apocalyptic number.

126345520 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 126345520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172770192).

126345520 is an abundant number, since it is smaller than the sum of its proper divisors (219194864).

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

126345520 is a wasteful number, since it uses less digits than its factorization.

126345520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 126345520 is about 11240.3523076459. The cubic root of 126345520 is about 501.7876278234.

The spelling of 126345520 in words is "one hundred twenty-six million, three hundred forty-five thousand, five hundred twenty".