144986400 has 216 divisors, whose sum is σ = 550941300. Its totient is φ = 35665920.

The previous prime is 144986393. The next prime is 144986431. The reversal of 144986400 is 4689441.

It is a happy number.

144986400 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 8 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18558864 + 126427536 = 4308^2 + 11244^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92826 + ... + 94374.

Almost surely, 2^144986400 is an apocalyptic number.

144986400 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 144986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275470650).

144986400 is an abundant number, since it is smaller than the sum of its proper divisors (405954900).

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

144986400 is a wasteful number, since it uses less digits than its factorization.

144986400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 144986400 is about 12041.0298562872. The cubic root of 144986400 is about 525.3423617254.

The spelling of 144986400 in words is "one hundred forty-four million, nine hundred eighty-six thousand, four hundred".