13144500 has 144 divisors (see below), whose sum is σ = 43610112. Its totient is φ = 3326400.

The previous prime is 13144489. The next prime is 13144513. The reversal of 13144500 is 544131.

13144500 = 136³ + 137³ + ... + 140³.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 5.

It is a congruent number.

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, 103437 + ... + 103563.

It is an arithmetic number, because the mean of its divisors is an integer number (302848).

Almost surely, 2^13144500 is an apocalyptic number.

13144500 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 13144500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21805056).

13144500 is an abundant number, since it is smaller than the sum of its proper divisors (30465612).

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

13144500 is a wasteful number, since it uses less digits than its factorization.

13144500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13144500 is about 3625.5344433614. The cubic root of 13144500 is about 236.0014602993.

Adding to 13144500 its reverse (544131), we get a palindrome (13688631).

The spelling of 13144500 in words is "thirteen million, one hundred forty-four thousand, five hundred".