126146196 has 72 divisors (see below), whose sum is σ = 349116768. Its totient is φ = 38088000.

The previous prime is 126146183. The next prime is 126146213. The reversal of 126146196 is 691641621.

126146196 is a `hidden beast` number, since 1 + 26 + 14 + 619 + 6 = 666.

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 126146196.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182211 + ... + 182901.

It is an arithmetic number, because the mean of its divisors is an integer number (4848844).

Almost surely, 2^126146196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126146196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174558384).

126146196 is an abundant number, since it is smaller than the sum of its proper divisors (222970572).

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

126146196 is a wasteful number, since it uses less digits than its factorization.

126146196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1168 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 126146196 is about 11231.4823598668. The cubic root of 126146196 is about 501.5236138193.

The spelling of 126146196 in words is "one hundred twenty-six million, one hundred forty-six thousand, one hundred ninety-six".