613607148 has 144 divisors (see below), whose sum is σ = 1981324800. Its totient is φ = 155462400.

The previous prime is 613607123. The next prime is 613607161. The reversal of 613607148 is 841706316.

613607148 is a `hidden beast` number, since 6 + 1 + 3 + 607 + 1 + 48 = 666.

613607148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110953 + ... + 116351.

It is an arithmetic number, because the mean of its divisors is an integer number (13759200).

Almost surely, 2^613607148 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 613607148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990662400).

613607148 is an abundant number, since it is smaller than the sum of its proper divisors (1367717652).

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

613607148 is a wasteful number, since it uses less digits than its factorization.

613607148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 613607148 is about 24771.0950101121. The cubic root of 613607148 is about 849.7610160898.

The spelling of 613607148 in words is "six hundred thirteen million, six hundred seven thousand, one hundred forty-eight".