126614988900 has 243 divisors, whose sum is σ = 412032046881. Its totient is φ = 32520015360.

The previous prime is 126614988893. The next prime is 126614989009. The reversal of 126614988900 is 9889416621.

The square root of 126614988900 is 355830.

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

126614988900 is a `hidden beast` number, since 1 + 2 + 6 + 61 + 498 + 8 + 90 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 20610047844 + 106004941056 = 143562^2 + 325584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 309571896 + ... + 309572304.

Almost surely, 2^126614988900 is an apocalyptic number.

126614988900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126614988900 is the 355830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126614988900

126614988900 is an abundant number, since it is smaller than the sum of its proper divisors (285417057981).

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

126614988900 is a wasteful number, since it uses less digits than its factorization.

126614988900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 126614988900 in words is "one hundred twenty-six billion, six hundred fourteen million, nine hundred eighty-eight thousand, nine hundred".