126509280 has 48 divisors (see below), whose sum is σ = 398505744. Its totient is φ = 33735680.

The previous prime is 126509261. The next prime is 126509293. The reversal of 126509280 is 82905621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×126509280² = 32009195852236800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131301 + ... + 132260.

It is an arithmetic number, because the mean of its divisors is an integer number (8302203).

Almost surely, 2^126509280 is an apocalyptic number.

126509280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126509280 is an abundant number, since it is smaller than the sum of its proper divisors (271996464).

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

126509280 is a wasteful number, since it uses less digits than its factorization.

126509280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263579 (or 263571 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 126509280 is about 11247.6344179565. The cubic root of 126509280 is about 502.0043279363.

The spelling of 126509280 in words is "one hundred twenty-six million, five hundred nine thousand, two hundred eighty".