126151344 has 100 divisors (see below), whose sum is σ = 398356200. Its totient is φ = 38223360.

The previous prime is 126151321. The next prime is 126151367. The reversal of 126151344 is 443151621.

It is a happy number.

126151344 is a `hidden beast` number, since 1 + 2 + 615 + 1 + 3 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (126151321) and next prime (126151367).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9832 + ... + 18680.

It is an arithmetic number, because the mean of its divisors is an integer number (3983562).

Almost surely, 2^126151344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126151344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199178100).

126151344 is an abundant number, since it is smaller than the sum of its proper divisors (272204856).

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

126151344 is a wasteful number, since it uses less digits than its factorization.

126151344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8880 (or 8865 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 126151344 is about 11231.7115347573. The cubic root of 126151344 is about 501.5304360846.

The spelling of 126151344 in words is "one hundred twenty-six million, one hundred fifty-one thousand, three hundred forty-four".