6126192900 has 81 divisors (see below), whose sum is σ = 19209574111. Its totient is φ = 1633025280.

The previous prime is 6126192887. The next prime is 6126192931. The reversal of 6126192900 is 92916216.

The square root of 6126192900 is 78270.

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

6126192900 is a `hidden beast` number, since 6 + 12 + 619 + 29 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 157703364 + 5968489536 = 12558^2 + 77256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 2346796 + ... + 2349404.

Almost surely, 2^6126192900 is an apocalyptic number.

6126192900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6126192900 is the 78270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6126192900

6126192900 is an abundant number, since it is smaller than the sum of its proper divisors (13083381211).

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

6126192900 is a wasteful number, since it uses less digits than its factorization.

6126192900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5238 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The cubic root of 6126192900 is about 1829.7716278666.

Multiplying 6126192900 by its sum of digits (36), we get a square (220542944400 = 469620²).

6126192900 divided by its sum of digits (36) gives a square (170172025 = 13045²).

Multiplying 6126192900 by its product of nonzero digits (11664), we get a square (71455913985600 = 8453160²).

The spelling of 6126192900 in words is "six billion, one hundred twenty-six million, one hundred ninety-two thousand, nine hundred".