126838140 has 96 divisors (see below), whose sum is σ = 417263616. Its totient is φ = 28381440.

The previous prime is 126838099. The next prime is 126838171. The reversal of 126838140 is 41838621.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1189 + ... + 15971.

It is an arithmetic number, because the mean of its divisors is an integer number (4346496).

Almost surely, 2^126838140 is an apocalyptic number.

126838140 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 126838140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208631808).

126838140 is an abundant number, since it is smaller than the sum of its proper divisors (290425476).

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

126838140 is a wasteful number, since it uses less digits than its factorization.

126838140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14819 (or 14817 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 126838140 is about 11262.2440037499. The cubic root of 126838140 is about 502.4389371606.

The spelling of 126838140 in words is "one hundred twenty-six million, eight hundred thirty-eight thousand, one hundred forty".