126546140 has 96 divisors (see below), whose sum is σ = 319334400. Its totient is φ = 41207040.

The previous prime is 126546107. The next prime is 126546143. The reversal of 126546140 is 41645621.

It is a Harshad number since it is a multiple of its sum of digits (29).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288041 + ... + 288479.

It is an arithmetic number, because the mean of its divisors is an integer number (3326400).

Almost surely, 2^126546140 is an apocalyptic number.

126546140 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 126546140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

126546140 is an abundant number, since it is smaller than the sum of its proper divisors (192788260).

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

126546140 is a wasteful number, since it uses less digits than its factorization.

126546140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 126546140 is about 11249.2728653900. The cubic root of 126546140 is about 502.0530782011.

The spelling of 126546140 in words is "one hundred twenty-six million, five hundred forty-six thousand, one hundred forty".