126315288 has 168 divisors, whose sum is σ = 392496300. Its totient is φ = 38063520.

The previous prime is 126315269. The next prime is 126315289. The reversal of 126315288 is 882513621.

It is a happy number.

126315288 is a `hidden beast` number, since 12 + 631 + 5 + 2 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126315289) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 705583 + ... + 705761.

Almost surely, 2^126315288 is an apocalyptic number.

126315288 is a gapful number since it is divisible by the number (18) 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 126315288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196248150).

126315288 is an abundant number, since it is smaller than the sum of its proper divisors (266181012).

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

126315288 is a wasteful number, since it uses less digits than its factorization.

126315288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 195 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 126315288 is about 11239.0074294842. The cubic root of 126315288 is about 501.7476019914.

The spelling of 126315288 in words is "one hundred twenty-six million, three hundred fifteen thousand, two hundred eighty-eight".