126736 has 15 divisors (see below), whose sum is σ = 248341. Its totient is φ = 62656.

The previous prime is 126733. The next prime is 126739. The reversal of 126736 is 637621.

Multipling 126736 by its sum of digits (25), we get a square (3168400 = 1780^{2}).

126736 = T_{355} + T_{356}.

The square root of 126736 is 356.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (126733) and next prime (126739).

It can be written as a sum of positive squares in only one way, i.e., 24336 + 102400 = 156^2 + 320^2 .

It is a Duffinian number.

It is a plaindrome in base 13.

It is a self number, because there is not a number *n* which added to its sum of digits gives 126736.

It is not an unprimeable number, because it can be changed into a prime (126733) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1380 + ... + 1468.

126736 is a Friedman number, since it can be written as (7+6+(6+1)^3)^2, using all its digits and the basic arithmetic operations.

2^{126736} is an apocalyptic number.

126736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

126736 is the 356-th square number.

It is an amenable number.

126736 is a deficient number, since it is larger than the sum of its proper divisors (121605).

126736 is an frugal number, since it uses more digits than its factorization.

126736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 91 counting only the distinct ones).

The product of its digits is 1512, while the sum is 25.

The cubic root of 126736 is about 50.2304033220.

The spelling of 126736 in words is "one hundred twenty-six thousand, seven hundred thirty-six".

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