1613145240 has 512 divisors, whose sum is σ = 6478848000. Its totient is φ = 349360128.

The previous prime is 1613145229. The next prime is 1613145251. The reversal of 1613145240 is 425413161.

It is a happy number.

1613145240 is a `hidden beast` number, since 1 + 6 + 131 + 4 + 524 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1613145229) and next prime (1613145251).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20419521 + ... + 20419599.

It is an arithmetic number, because the mean of its divisors is an integer number (12654000).

Almost surely, 2^1613145240 is an apocalyptic number.

1613145240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1613145240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239424000).

1613145240 is an abundant number, since it is smaller than the sum of its proper divisors (4865702760).

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

1613145240 is a wasteful number, since it uses less digits than its factorization.

1613145240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1613145240 is about 40163.9793845182. The cubic root of 1613145240 is about 1172.8014394315.

The spelling of 1613145240 in words is "one billion, six hundred thirteen million, one hundred forty-five thousand, two hundred forty".