1613036144 has 80 divisors (see below), whose sum is σ = 3367403520. Its totient is φ = 746807040.

The previous prime is 1613036119. The next prime is 1613036171. The reversal of 1613036144 is 4416303161.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1826327 + ... + 1827209.

It is an arithmetic number, because the mean of its divisors is an integer number (42092544).

Almost surely, 2^1613036144 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 1613036144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683701760).

1613036144 is an abundant number, since it is smaller than the sum of its proper divisors (1754367376).

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

1613036144 is a wasteful number, since it uses less digits than its factorization.

1613036144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 1613036144 is about 40162.6212291977. The cubic root of 1613036144 is about 1172.7750002271.

The spelling of 1613036144 in words is "one billion, six hundred thirteen million, thirty-six thousand, one hundred forty-four".