613148256 has 144 divisors (see below), whose sum is σ = 2057223168. Its totient is φ = 169516800.

The previous prime is 613148219. The next prime is 613148257. The reversal of 613148256 is 652841316.

It is a happy number.

613148256 is a `hidden beast` number, since 613 + 14 + 8 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 613148256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613148257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57591 + ... + 67401.

It is an arithmetic number, because the mean of its divisors is an integer number (14286272).

Almost surely, 2^613148256 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 613148256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028611584).

613148256 is an abundant number, since it is smaller than the sum of its proper divisors (1444074912).

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

613148256 is a wasteful number, since it uses less digits than its factorization.

613148256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9865 (or 9854 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 613148256 is about 24761.8306269953. The cubic root of 613148256 is about 849.5491292809.

The spelling of 613148256 in words is "six hundred thirteen million, one hundred forty-eight thousand, two hundred fifty-six".