144896040 has 112 divisors (see below), whose sum is σ = 488898900. Its totient is φ = 38631168.

The previous prime is 144896039. The next prime is 144896051. The reversal of 144896040 is 40698441.

It is a happy number.

144896040 is a `hidden beast` number, since 1 + 4 + 48 + 9 + 604 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 137311524 + 7584516 = 11718^2 + 2754^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144895986 and 144896004.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 26676 + ... + 31644.

Almost surely, 2^144896040 is an apocalyptic number.

144896040 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 144896040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244449450).

144896040 is an abundant number, since it is smaller than the sum of its proper divisors (344002860).

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

144896040 is an equidigital number, since it uses as much as digits as its factorization.

144896040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4998 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 144896040 is about 12037.2771007400. The cubic root of 144896040 is about 525.2332025197.

The spelling of 144896040 in words is "one hundred forty-four million, eight hundred ninety-six thousand, forty".