227825135136 has 96 divisors (see below), whose sum is σ = 664885368000. Its totient is φ = 75896524800.

The previous prime is 227825135113. The next prime is 227825135137. The reversal of 227825135136 is 631531528722.

227825135136 is a `hidden beast` number, since 2 + 2 + 7 + 82 + 51 + 3 + 513 + 6 = 666.

227825135136 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 227825135091 and 227825135100.

It is not an unprimeable number, because it can be changed into a prime (227825135137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1390336 + ... + 1545536.

It is an arithmetic number, because the mean of its divisors is an integer number (6925889250).

Almost surely, 2^227825135136 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 227825135136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332442684000).

227825135136 is an abundant number, since it is smaller than the sum of its proper divisors (437060232864).

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

227825135136 is a wasteful number, since it uses less digits than its factorization.

227825135136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156919 (or 156905 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 227825135136 in words is "two hundred twenty-seven billion, eight hundred twenty-five million, one hundred thirty-five thousand, one hundred thirty-six".