144596736 has 108 divisors (see below), whose sum is σ = 421857072. Its totient is φ = 47628288.

The previous prime is 144596729. The next prime is 144596759. The reversal of 144596736 is 637695441.

It is a junction number, because it is equal to n+sod(n) for n = 144596691 and 144596700.

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, 223165 + ... + 223811.

It is an arithmetic number, because the mean of its divisors is an integer number (3906084).

Almost surely, 2^144596736 is an apocalyptic number.

144596736 is a gapful number since it is divisible by the number (16) 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 144596736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210928536).

144596736 is an abundant number, since it is smaller than the sum of its proper divisors (277260336).

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

144596736 is an equidigital number, since it uses as much as digits as its factorization.

144596736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 749 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 144596736 is about 12024.8382941310. The cubic root of 144596736 is about 524.8713045093.

The spelling of 144596736 in words is "one hundred forty-four million, five hundred ninety-six thousand, seven hundred thirty-six".