126264500 has 48 divisors (see below), whose sum is σ = 290297280. Its totient is φ = 47844000.

The previous prime is 126264493. The next prime is 126264511. The reversal of 126264500 is 5462621.

It is a self number, because there is not a number n which added to its sum of digits gives 126264500.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2855 + ... + 16145.

It is an arithmetic number, because the mean of its divisors is an integer number (6047860).

Almost surely, 2^126264500 is an apocalyptic number.

126264500 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 126264500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145148640).

126264500 is an abundant number, since it is smaller than the sum of its proper divisors (164032780).

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

126264500 is a wasteful number, since it uses less digits than its factorization.

126264500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13329 (or 13317 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 126264500 is about 11236.7477501277. The cubic root of 126264500 is about 501.6803465449.

The spelling of 126264500 in words is "one hundred twenty-six million, two hundred sixty-four thousand, five hundred".