144971040 has 96 divisors (see below), whose sum is σ = 459950400. Its totient is φ = 38380544.

The previous prime is 144971033. The next prime is 144971041. The reversal of 144971040 is 40179441.

144971040 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 144970989 and 144971007.

It is not an unprimeable number, because it can be changed into a prime (144971041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70507 + ... + 72533.

It is an arithmetic number, because the mean of its divisors is an integer number (4791150).

Almost surely, 2^144971040 is an apocalyptic number.

144971040 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 144971040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229975200).

144971040 is an abundant number, since it is smaller than the sum of its proper divisors (314979360).

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

144971040 is a wasteful number, since it uses less digits than its factorization.

144971040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 144971040 is about 12040.3920201960. The cubic root of 144971040 is about 525.3238093102.

The spelling of 144971040 in words is "one hundred forty-four million, nine hundred seventy-one thousand, forty".