144729400 has 48 divisors (see below), whose sum is σ = 344341800. Its totient is φ = 56542080.

The previous prime is 144729373. The next prime is 144729413. The reversal of 144729400 is 4927441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186 + ... + 17014.

Almost surely, 2^144729400 is an apocalyptic number.

144729400 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 144729400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172170900).

144729400 is an abundant number, since it is smaller than the sum of its proper divisors (199612400).

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

144729400 is a wasteful number, since it uses less digits than its factorization.

144729400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16888 (or 16879 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 144729400 is about 12030.3532782708. The cubic root of 144729400 is about 525.0317743430.

The spelling of 144729400 in words is "one hundred forty-four million, seven hundred twenty-nine thousand, four hundred".