126011540 has 24 divisors (see below), whose sum is σ = 267601320. Its totient is φ = 49837568.

The previous prime is 126011533. The next prime is 126011569. The reversal of 126011540 is 45110621.

It can be written as a sum of positive squares in 4 ways, for example, as 2979076 + 123032464 = 1726^2 + 11092^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 33617 + ... + 37176.

It is an arithmetic number, because the mean of its divisors is an integer number (11150055).

Almost surely, 2^126011540 is an apocalyptic number.

126011540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126011540 is an abundant number, since it is smaller than the sum of its proper divisors (141589780).

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

126011540 is a wasteful number, since it uses less digits than its factorization.

126011540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70891 (or 70889 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 126011540 is about 11225.4861810079. The cubic root of 126011540 is about 501.3450981769.

It can be divided in two parts, 12601 and 1540, that added together give a palindrome (14141).

The spelling of 126011540 in words is "one hundred twenty-six million, eleven thousand, five hundred forty".