209265152 has 40 divisors (see below), whose sum is σ = 421938396. Its totient is φ = 103677952.

The previous prime is 209265137. The next prime is 209265157. The reversal of 209265152 is 251562902.

It can be written as a sum of positive squares in 2 ways, for example, as 125798656 + 83466496 = 11216^2 + 9136^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (209265157) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56048 + ... + 59664.

Almost surely, 2^209265152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209265152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210969198).

209265152 is an abundant number, since it is smaller than the sum of its proper divisors (212673244).

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

209265152 is an equidigital number, since it uses as much as digits as its factorization.

209265152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 209265152 is about 14465.9998617448. Note that the first 3 decimals coincide. The cubic root of 209265152 is about 593.6980708490.

209265152 divided by its sum of digits (32) gives a triangular number (6539536 = T₃₆₁₆).

The spelling of 209265152 in words is "two hundred nine million, two hundred sixty-five thousand, one hundred fifty-two".