126371280 has 320 divisors, whose sum is σ = 488540160. Its totient is φ = 26376192.

The previous prime is 126371263. The next prime is 126371291. The reversal of 126371280 is 82173621.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 1180987 + ... + 1181093.

It is an arithmetic number, because the mean of its divisors is an integer number (1526688).

Almost surely, 2^126371280 is an apocalyptic number.

126371280 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 126371280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244270080).

126371280 is an abundant number, since it is smaller than the sum of its proper divisors (362168880).

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

126371280 is a wasteful number, since it uses less digits than its factorization.

126371280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 126371280 is about 11241.4981208022. The cubic root of 126371280 is about 501.8217278873.

The spelling of 126371280 in words is "one hundred twenty-six million, three hundred seventy-one thousand, two hundred eighty".