144136800 has 144 divisors (see below), whose sum is σ = 521372880. Its totient is φ = 38430720.

The previous prime is 144136787. The next prime is 144136801. The reversal of 144136800 is 8631441.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×144136800² = 41550834228480000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144136801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18264 + ... + 24936.

It is an arithmetic number, because the mean of its divisors is an integer number (3620645).

Almost surely, 2^144136800 is an apocalyptic number.

144136800 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 144136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260686440).

144136800 is an abundant number, since it is smaller than the sum of its proper divisors (377236080).

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

144136800 is a wasteful number, since it uses less digits than its factorization.

144136800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6702 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 144136800 is about 12005.6986468926. The cubic root of 144136800 is about 524.3142065974.

The spelling of 144136800 in words is "one hundred forty-four million, one hundred thirty-six thousand, eight hundred".