126654 has 32 divisors (see below), whose sum is σ = 293760. Its totient is φ = 36000.

The previous prime is 126653. The next prime is 126683. The reversal of 126654 is 456621.

It is a d-powerful number, because it can be written as 1 + 2⁹ + 6⁴ + 6⁶ + 5⁷ + 4³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126653) 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 15 ways as a sum of consecutive naturals, for example, 1204 + ... + 1304.

It is an arithmetic number, because the mean of its divisors is an integer number (9180).

2¹²⁶⁶⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880).

126654 is an abundant number, since it is smaller than the sum of its proper divisors (167106).

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

126654 is a wasteful number, since it uses less digits than its factorization.

126654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136.

The product of its digits is 1440, while the sum is 24.

The square root of 126654 is about 355.8848128257. The cubic root of 126654 is about 50.2195677223.

It can be divided in two parts, 126 and 654, that added together give a triangular number (780 = T₃₉).

The spelling of 126654 in words is "one hundred twenty-six thousand, six hundred fifty-four".