126825280 has 56 divisors (see below), whose sum is σ = 303397920. Its totient is φ = 50496000.

The previous prime is 126825277. The next prime is 126825301. The reversal of 126825280 is 82528621.

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 7 ways as a sum of consecutive naturals, for example, 79531 + ... + 81109.

It is an arithmetic number, because the mean of its divisors is an integer number (5417820).

Almost surely, 2^126825280 is an apocalyptic number.

126825280 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 126825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151698960).

126825280 is an abundant number, since it is smaller than the sum of its proper divisors (176572640).

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

126825280 is a wasteful number, since it uses less digits than its factorization.

126825280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 126825280 is about 11261.6730551015. The cubic root of 126825280 is about 502.4219559826.

The spelling of 126825280 in words is "one hundred twenty-six million, eight hundred twenty-five thousand, two hundred eighty".