144769840 has 40 divisors (see below), whose sum is σ = 339264000. Its totient is φ = 57447936.

The previous prime is 144769813. The next prime is 144769861. The reversal of 144769840 is 48967441.

144769840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3036 + ... + 17284.

It is an arithmetic number, because the mean of its divisors is an integer number (8481600).

Almost surely, 2^144769840 is an apocalyptic number.

144769840 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 144769840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169632000).

144769840 is an abundant number, since it is smaller than the sum of its proper divisors (194494160).

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

144769840 is a wasteful number, since it uses less digits than its factorization.

144769840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14389 (or 14383 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 144769840 is about 12032.0339095267. The cubic root of 144769840 is about 525.0806708991.

The spelling of 144769840 in words is "one hundred forty-four million, seven hundred sixty-nine thousand, eight hundred forty".