210273605136 has 405 divisors, whose sum is σ = 704550868749. Its totient is φ = 58372344576.

The previous prime is 210273605011. The next prime is 210273605161. The reversal of 210273605136 is 631506372012.

The square root of 210273605136 is 458556.

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

210273605136 is a `hidden beast` number, since 2 + 10 + 2 + 7 + 3 + 605 + 1 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 151585635600 + 58687969536 = 389340^2 + 242256^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 210273605136.

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, 2041491261 + ... + 2041491363.

Almost surely, 2^210273605136 is an apocalyptic number.

210273605136 is the 458556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210273605136

210273605136 is an abundant number, since it is smaller than the sum of its proper divisors (494277263613).

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

210273605136 is a wasteful number, since it uses less digits than its factorization.

210273605136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Multiplying 210273605136 by its sum of digits (36), we get a square (7569849784896 = 2751336²).

210273605136 divided by its sum of digits (36) gives a square (5840933476 = 76426²).

Adding to 210273605136 its reverse (631506372012), we get a palindrome (841779977148).

It can be divided in two parts, 210273 and 605136, that added together give a square (815409 = 903²).

The spelling of 210273605136 in words is "two hundred ten billion, two hundred seventy-three million, six hundred five thousand, one hundred thirty-six".