144011400 has 192 divisors, whose sum is σ = 494760000. Its totient is φ = 34421760.

The previous prime is 144011377. The next prime is 144011411. The reversal of 144011400 is 4110441.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 144011400.

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, 288351 + ... + 288849.

It is an arithmetic number, because the mean of its divisors is an integer number (2576875).

Almost surely, 2^144011400 is an apocalyptic number.

144011400 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 144011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247380000).

144011400 is an abundant number, since it is smaller than the sum of its proper divisors (350748600).

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

144011400 is a wasteful number, since it uses less digits than its factorization.

144011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 144011400 is about 12000.4749905993. The cubic root of 144011400 is about 524.1621101675.

Adding to 144011400 its reverse (4110441), we get a palindrome (148121841).

The spelling of 144011400 in words is "one hundred forty-four million, eleven thousand, four hundred".