126736000000 has 231 divisors, whose sum is σ = 320279435527. Its totient is φ = 50124800000.

The previous prime is 126735999983. The next prime is 126736000009. The reversal of 126736000000 is 637621.

The square root of 126736000000 is 356000.

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

It can be written as a sum of positive squares in 10 ways, for example, as 66902926336 + 59833073664 = 258656^2 + 244608^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (126736000009) 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 20 ways as a sum of consecutive naturals, for example, 1423999956 + ... + 1424000044.

Almost surely, 2^126736000000 is an apocalyptic number.

126736000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126736000000 is the 356000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126736000000

126736000000 is an abundant number, since it is smaller than the sum of its proper divisors (193543435527).

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

126736000000 is an frugal number, since it uses more digits than its factorization.

126736000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 96 counting only the distinct ones).

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

Multiplying 126736000000 by its sum of digits (25), we get a square (3168400000000 = 1780000²).

126736000000 divided by its sum of digits (25) gives a square (5069440000 = 71200²).

Adding to 126736000000 its reverse (637621), we get a palindrome (126736637621).

The spelling of 126736000000 in words is "one hundred twenty-six billion, seven hundred thirty-six million", and thus it is an aban number.