126140 has 48 divisors (see below), whose sum is σ = 326592. Its totient is φ = 39936.

The previous prime is 126131. The next prime is 126143. The reversal of 126140 is 41621.

126140 = 78² + 79² + ... + 94².

It is a super-2 number, since 2×126140² = 31822599200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2354 + ... + 2406.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

2¹²⁶¹⁴⁰ is an apocalyptic number.

126140 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 126140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296).

126140 is an abundant number, since it is smaller than the sum of its proper divisors (200452).

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

126140 is a wasteful number, since it uses less digits than its factorization.

126140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 126140 is about 355.1619348973. The cubic root of 126140 is about 50.1515402471.

Adding to 126140 its reverse (41621), we get a palindrome (167761).

The spelling of 126140 in words is "one hundred twenty-six thousand, one hundred forty".