126125460 has 72 divisors (see below), whose sum is σ = 386928360. Its totient is φ = 33251328.

The previous prime is 126125443. The next prime is 126125497. The reversal of 126125460 is 64521621.

126125460 is a `hidden beast` number, since 1 + 2 + 612 + 5 + 46 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2782224 + 123343236 = 1668^2 + 11106^2 .

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 23 ways as a sum of consecutive naturals, for example, 12084 + ... + 19956.

It is an arithmetic number, because the mean of its divisors is an integer number (5374005).

Almost surely, 2^126125460 is an apocalyptic number.

126125460 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 126125460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193464180).

126125460 is an abundant number, since it is smaller than the sum of its proper divisors (260802900).

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

126125460 is a wasteful number, since it uses less digits than its factorization.

126125460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7977 (or 7972 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 126125460 is about 11230.5592024618. The cubic root of 126125460 is about 501.4961320459.

The spelling of 126125460 in words is "one hundred twenty-six million, one hundred twenty-five thousand, four hundred sixty".