205136400 has 120 divisors (see below), whose sum is σ = 751025344. Its totient is φ = 46886400.

The previous prime is 205136387. The next prime is 205136411. The reversal of 205136400 is 4631502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3811 + ... + 20610.

Almost surely, 2^205136400 is an apocalyptic number.

205136400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205136400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375512672).

205136400 is an abundant number, since it is smaller than the sum of its proper divisors (545888944).

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

205136400 is a wasteful number, since it uses less digits than its factorization.

205136400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24449 (or 24438 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 205136400 is about 14322.5835658236. The cubic root of 205136400 is about 589.7675997463.

Adding to 205136400 its reverse (4631502), we get a palindrome (209767902).

The spelling of 205136400 in words is "two hundred five million, one hundred thirty-six thousand, four hundred".