200575136 has 48 divisors (see below), whose sum is σ = 410576040. Its totient is φ = 96452608.

The previous prime is 200575127. The next prime is 200575139. The reversal of 200575136 is 631575002.

It can be written as a sum of positive squares in 4 ways, for example, as 167443600 + 33131536 = 12940^2 + 5756^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 200575099 and 200575108.

It is not an unprimeable number, because it can be changed into a prime (200575139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 780320 + ... + 780576.

Almost surely, 2^200575136 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 200575136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205288020).

200575136 is an abundant number, since it is smaller than the sum of its proper divisors (210000904).

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

200575136 is an frugal number, since it uses more digits than its factorization.

200575136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 200575136 is about 14162.4551543862. The cubic root of 200575136 is about 585.3635804487.

The spelling of 200575136 in words is "two hundred million, five hundred seventy-five thousand, one hundred thirty-six".