126575325324900 has 81 divisors (see below), whose sum is σ = 396744383199801. Its totient is φ = 33753330082080.

The previous prime is 126575325324893. The next prime is 126575325324941. The reversal of 126575325324900 is 9423523575621.

The square root of 126575325324900 is 11250570.

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

126575325324900 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 75 + 32 + 53 + 2 + 490 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45567117116964 + 81008208207936 = 6750342^2 + 9000456^2 .

It is a super-2 number, since 2×126575325324900² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 337329591 + ... + 337704609.

Almost surely, 2^{126575325324900} is an apocalyptic number.

126575325324900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126575325324900 is the 11250570-th square number.

It is an amenable number.

126575325324900 is an abundant number, since it is smaller than the sum of its proper divisors (270169057874901).

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

126575325324900 is an frugal number, since it uses more digits than its factorization.

126575325324900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750058 (or 375029 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

It can be divided in two parts, 126575325 and 324900, that added together give a square (126900225 = 11265²).

The spelling of 126575325324900 in words is "one hundred twenty-six trillion, five hundred seventy-five billion, three hundred twenty-five million, three hundred twenty-four thousand, nine hundred".