1745160144 has 320 divisors, whose sum is σ = 5999616000. Its totient is φ = 424359936.

The previous prime is 1745160107. The next prime is 1745160253. The reversal of 1745160144 is 4410615471.

It is a super-2 number, since 2×1745160144² = 6091167856412201472, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2913157 + ... + 2913755.

It is an arithmetic number, because the mean of its divisors is an integer number (18748800).

Almost surely, 2^1745160144 is an apocalyptic number.

1745160144 is a gapful number since it is divisible by the number (14) 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 1745160144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999808000).

1745160144 is an abundant number, since it is smaller than the sum of its proper divisors (4254455856).

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

1745160144 is a wasteful number, since it uses less digits than its factorization.

1745160144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1745160144 is about 41775.1139316220. The cubic root of 1745160144 is about 1203.9591786103.

The spelling of 1745160144 in words is "one billion, seven hundred forty-five million, one hundred sixty thousand, one hundred forty-four".