126125536 has 48 divisors (see below), whose sum is σ = 257862528. Its totient is φ = 60681600.

The previous prime is 126125521. The next prime is 126125543. The reversal of 126125536 is 635521621.

It is a super-3 number, since 3×126125536³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126125498 and 126125507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97051 + ... + 98341.

It is an arithmetic number, because the mean of its divisors is an integer number (5372136).

Almost surely, 2^126125536 is an apocalyptic number.

126125536 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 126125536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128931264).

126125536 is an abundant number, since it is smaller than the sum of its proper divisors (131736992).

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

126125536 is a wasteful number, since it uses less digits than its factorization.

126125536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1407 counting only the distinct ones).

The product of its digits is 10800, while the sum is 31.

The square root of 126125536 is about 11230.5625860862. The cubic root of 126125536 is about 501.4962327754.

The spelling of 126125536 in words is "one hundred twenty-six million, one hundred twenty-five thousand, five hundred thirty-six".