126301936 has 40 divisors (see below), whose sum is σ = 254448000. Its totient is φ = 60668160.

The previous prime is 126301927. The next prime is 126301943. The reversal of 126301936 is 639103621.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 126301898 and 126301907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73050 + ... + 74758.

It is an arithmetic number, because the mean of its divisors is an integer number (6361200).

Almost surely, 2^126301936 is an apocalyptic number.

126301936 is a gapful number since it is divisible by the number (16) 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 126301936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127224000).

126301936 is an abundant number, since it is smaller than the sum of its proper divisors (128146064).

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

126301936 is a wasteful number, since it uses less digits than its factorization.

126301936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 126301936 is about 11238.4134111537. The cubic root of 126301936 is about 501.7299225003.

The spelling of 126301936 in words is "one hundred twenty-six million, three hundred one thousand, nine hundred thirty-six".