126364752 has 80 divisors (see below), whose sum is σ = 367774080. Its totient is φ = 41534208.

The previous prime is 126364751. The next prime is 126364789. The reversal of 126364752 is 257463621.

126364752 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 647 + 5 + 2 = 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 (126364751) 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, 29533 + ... + 33539.

It is an arithmetic number, because the mean of its divisors is an integer number (4597176).

Almost surely, 2^126364752 is an apocalyptic number.

126364752 is a gapful number since it is divisible by the number (12) 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 126364752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183887040).

126364752 is an abundant number, since it is smaller than the sum of its proper divisors (241409328).

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

126364752 is a wasteful number, since it uses less digits than its factorization.

126364752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4097 (or 4085 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 126364752 is about 11241.2077642929. The cubic root of 126364752 is about 501.8130868189.

The spelling of 126364752 in words is "one hundred twenty-six million, three hundred sixty-four thousand, seven hundred fifty-two".