126546480 has 60 divisors (see below), whose sum is σ = 424987680. Its totient is φ = 33745536.

The previous prime is 126546473. The next prime is 126546481. The reversal of 126546480 is 84645621.

126546480 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 4 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (126546481) 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 11 ways as a sum of consecutive naturals, for example, 87160 + ... + 88599.

It is an arithmetic number, because the mean of its divisors is an integer number (7083128).

Almost surely, 2^126546480 is an apocalyptic number.

126546480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126546480 is an abundant number, since it is smaller than the sum of its proper divisors (298441200).

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

126546480 is a wasteful number, since it uses less digits than its factorization.

126546480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175778 (or 175769 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 126546480 is about 11249.2879774677. The cubic root of 126546480 is about 502.0535278340.

The spelling of 126546480 in words is "one hundred twenty-six million, five hundred forty-six thousand, four hundred eighty".