225136536400 has 60 divisors (see below), whose sum is σ = 541694877052. Its totient is φ = 89920696320.

The previous prime is 225136536379. The next prime is 225136536409. The reversal of 225136536400 is 4635631522.

It can be written as a sum of positive squares in 6 ways, for example, as 938074384 + 224198462016 = 30628^2 + 473496^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 225136536400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225136536409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148959 + ... + 687358.

Almost surely, 2^225136536400 is an apocalyptic number.

225136536400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225136536400 is an abundant number, since it is smaller than the sum of its proper divisors (316558340652).

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

225136536400 is a wasteful number, since it uses less digits than its factorization.

225136536400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837008 (or 836997 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 225136536400 in words is "two hundred twenty-five billion, one hundred thirty-six million, five hundred thirty-six thousand, four hundred".