126613144 has 64 divisors (see below), whose sum is σ = 289267200. Its totient is φ = 50717184.

The previous prime is 126613139. The next prime is 126613147. The reversal of 126613144 is 441316621.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126613147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170037 + ... + 170779.

It is an arithmetic number, because the mean of its divisors is an integer number (4519800).

Almost surely, 2^126613144 is an apocalyptic number.

126613144 is a gapful number since it is divisible by the number (14) 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 126613144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144633600).

126613144 is an abundant number, since it is smaller than the sum of its proper divisors (162654056).

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

126613144 is a wasteful number, since it uses less digits than its factorization.

126613144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 948 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 126613144 is about 11252.2506193206. The cubic root of 126613144 is about 502.1416720505.

Adding to 126613144 its reverse (441316621), we get a palindrome (567929765).

The spelling of 126613144 in words is "one hundred twenty-six million, six hundred thirteen thousand, one hundred forty-four".