59144000 has 56 divisors (see below), whose sum is σ = 146489928. Its totient is φ = 23654400.

The previous prime is 59143993. The next prime is 59144023. The reversal of 59144000 is 44195.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8904256 + 50239744 = 2984^2 + 7088^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4304 + ... + 11696.

Almost surely, 2^59144000 is an apocalyptic number.

59144000 is a gapful number since it is divisible by the number (50) 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 59144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73244964).

59144000 is an abundant number, since it is smaller than the sum of its proper divisors (87345928).

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

59144000 is an equidigital number, since it uses as much as digits as its factorization.

59144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7420 (or 7400 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 59144000 is about 7690.5136369426. The cubic root of 59144000 is about 389.6161026195.

Adding to 59144000 its reverse (44195), we get a palindrome (59188195).

The spelling of 59144000 in words is "fifty-nine million, one hundred forty-four thousand".