126678132 has 72 divisors (see below), whose sum is σ = 373464000. Its totient is φ = 36190224.

The previous prime is 126678131. The next prime is 126678157. The reversal of 126678132 is 231876621.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126678131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7219 + ... + 17477.

It is an arithmetic number, because the mean of its divisors is an integer number (5187000).

Almost surely, 2^126678132 is an apocalyptic number.

126678132 is a gapful number since it is divisible by the number (12) 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 126678132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186732000).

126678132 is an abundant number, since it is smaller than the sum of its proper divisors (246785868).

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

126678132 is a wasteful number, since it uses less digits than its factorization.

126678132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10290 (or 10271 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 126678132 is about 11255.1380266970. The cubic root of 126678132 is about 502.2275704553.

The spelling of 126678132 in words is "one hundred twenty-six million, six hundred seventy-eight thousand, one hundred thirty-two".