144536400 has 180 divisors, whose sum is σ = 520508352. Its totient is φ = 38517120.

The previous prime is 144536387. The next prime is 144536419. The reversal of 144536400 is 4635441.

144536400 is a `hidden beast` number, since 14 + 4 + 5 + 3 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96457 + ... + 97943.

Almost surely, 2^144536400 is an apocalyptic number.

144536400 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 144536400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260254176).

144536400 is an abundant number, since it is smaller than the sum of its proper divisors (375971952).

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

144536400 is a wasteful number, since it uses less digits than its factorization.

144536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 144536400 is about 12022.3292252375. The cubic root of 144536400 is about 524.7982898579.

The spelling of 144536400 in words is "one hundred forty-four million, five hundred thirty-six thousand, four hundred".