144749920 has 144 divisors (see below), whose sum is σ = 409374000. Its totient is φ = 48190464.

The previous prime is 144749909. The next prime is 144749939. The reversal of 144749920 is 29947441.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289831 + ... + 290329.

It is an arithmetic number, because the mean of its divisors is an integer number (2842875).

Almost surely, 2^144749920 is an apocalyptic number.

144749920 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 144749920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204687000).

144749920 is an abundant number, since it is smaller than the sum of its proper divisors (264624080).

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

144749920 is a wasteful number, since it uses less digits than its factorization.

144749920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 144749920 is about 12031.2060908290. The cubic root of 144749920 is about 525.0565864933.

The spelling of 144749920 in words is "one hundred forty-four million, seven hundred forty-nine thousand, nine hundred twenty".