126546144 has 48 divisors (see below), whose sum is σ = 333704448. Its totient is φ = 41988992.

The previous prime is 126546143. The next prime is 126546149. The reversal of 126546144 is 441645621.

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

It is a super-2 number, since 2×126546144² = 32027853122537472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126546143) 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 7 ways as a sum of consecutive naturals, for example, 18889 + ... + 24695.

It is an arithmetic number, because the mean of its divisors is an integer number (6952176).

Almost surely, 2^126546144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126546144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166852224).

126546144 is an abundant number, since it is smaller than the sum of its proper divisors (207158304).

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

126546144 is a wasteful number, since it uses less digits than its factorization.

126546144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6047 (or 6039 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 126546144 is about 11249.2730431793. The cubic root of 126546144 is about 502.0530834909.

The spelling of 126546144 in words is "one hundred twenty-six million, five hundred forty-six thousand, one hundred forty-four".