126253000 has 64 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 50200000.

The previous prime is 126252947. The next prime is 126253007. The reversal of 126253000 is 352621.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (126253007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250749 + ... + 251251.

It is an arithmetic number, because the mean of its divisors is an integer number (4643730).

Almost surely, 2^126253000 is an apocalyptic number.

126253000 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 126253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

126253000 is an abundant number, since it is smaller than the sum of its proper divisors (170945720).

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

126253000 is a wasteful number, since it uses less digits than its factorization.

126253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 126253000 is about 11236.2360245769. The cubic root of 126253000 is about 501.6651152932.

It can be divided in two parts, 12625 and 3000, that added together give a 6-th power (15625 = 5⁶).

The spelling of 126253000 in words is "one hundred twenty-six million, two hundred fifty-three thousand".