126206550 has 144 divisors (see below), whose sum is σ = 369954000. Its totient is φ = 30723840.

The previous prime is 126206533. The next prime is 126206557. The reversal of 126206550 is 55602621.

126206550 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 0 + 655 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126206557) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 247696 + ... + 248204.

It is an arithmetic number, because the mean of its divisors is an integer number (2569125).

Almost surely, 2^126206550 is an apocalyptic number.

126206550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126206550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184977000).

126206550 is an abundant number, since it is smaller than the sum of its proper divisors (243747450).

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

126206550 is a wasteful number, since it uses less digits than its factorization.

126206550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 126206550 is about 11234.1688611130. The cubic root of 126206550 is about 501.6035848664.

It can be divided in two parts, 126206 and 550, that added together give a triangular number (126756 = T₅₀₃).

The spelling of 126206550 in words is "one hundred twenty-six million, two hundred six thousand, five hundred fifty".