126527280 has 120 divisors (see below), whose sum is σ = 431232816. Its totient is φ = 30666240.

The previous prime is 126527273. The next prime is 126527281. The reversal of 126527280 is 82725621.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (126527281) 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, 26862 + ... + 31218.

Almost surely, 2^126527280 is an apocalyptic number.

126527280 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 126527280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215616408).

126527280 is an abundant number, since it is smaller than the sum of its proper divisors (304705536).

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

126527280 is a wasteful number, since it uses less digits than its factorization.

126527280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 126527280 is about 11248.4345577507. The cubic root of 126527280 is about 502.0281355426.

The spelling of 126527280 in words is "one hundred twenty-six million, five hundred twenty-seven thousand, two hundred eighty".