209255013136 has 135 divisors (see below), whose sum is σ = 464342839029. Its totient is φ = 91298503296.

The previous prime is 209255013133. The next prime is 209255013179. The reversal of 209255013136 is 631310552902.

The square root of 209255013136 is 457444.

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

It can be written as a sum of positive squares in only one way, i.e., 30954883600 + 178300129536 = 175940^2 + 422256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 209255013095 and 209255013104.

It is not an unprimeable number, because it can be changed into a prime (209255013131) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 451954441 + ... + 451954903.

Almost surely, 2^209255013136 is an apocalyptic number.

209255013136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

209255013136 is the 457444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209255013136

209255013136 is an abundant number, since it is smaller than the sum of its proper divisors (255087825893).

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

209255013136 is an equidigital number, since it uses as much as digits as its factorization.

209255013136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The spelling of 209255013136 in words is "two hundred nine billion, two hundred fifty-five million, thirteen thousand, one hundred thirty-six".