126683136 has 192 divisors, whose sum is σ = 393120000. Its totient is φ = 40255488.

The previous prime is 126683113. The next prime is 126683147. The reversal of 126683136 is 631386621.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 126683136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1603545 + ... + 1603623.

It is an arithmetic number, because the mean of its divisors is an integer number (2047500).

Almost surely, 2^126683136 is an apocalyptic number.

126683136 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 126683136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560000).

126683136 is an abundant number, since it is smaller than the sum of its proper divisors (266436864).

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

126683136 is an equidigital number, since it uses as much as digits as its factorization.

126683136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 113 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 126683136 is about 11255.3603229750. The cubic root of 126683136 is about 502.2341833137.

The spelling of 126683136 in words is "one hundred twenty-six million, six hundred eighty-three thousand, one hundred thirty-six".