126735470900 has 72 divisors (see below), whose sum is σ = 296687807640. Its totient is φ = 46811914240.

The previous prime is 126735470891. The next prime is 126735470923. The reversal of 126735470900 is 9074537621.

It can be written as a sum of positive squares in 12 ways, for example, as 1014167716 + 125721303184 = 31846^2 + 354572^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613205 + ... + 793404.

It is an arithmetic number, because the mean of its divisors is an integer number (4120663995).

Almost surely, 2^126735470900 is an apocalyptic number.

126735470900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126735470900 is an abundant number, since it is smaller than the sum of its proper divisors (169952336740).

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

126735470900 is a wasteful number, since it uses less digits than its factorization.

126735470900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406693 (or 1406686 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 44.

The spelling of 126735470900 in words is "one hundred twenty-six billion, seven hundred thirty-five million, four hundred seventy thousand, nine hundred".