144590040 has 192 divisors, whose sum is σ = 541719360. Its totient is φ = 32762880.

The previous prime is 144590021. The next prime is 144590041. The reversal of 144590040 is 40095441.

It is a junction number, because it is equal to n+sod(n) for n = 144589986 and 144590013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144590041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455962 + ... + 456278.

It is an arithmetic number, because the mean of its divisors is an integer number (2821455).

Almost surely, 2^144590040 is an apocalyptic number.

144590040 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 144590040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270859680).

144590040 is an abundant number, since it is smaller than the sum of its proper divisors (397129320).

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

144590040 is a wasteful number, since it uses less digits than its factorization.

144590040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 144590040 is about 12024.5598672051. The cubic root of 144590040 is about 524.8632024534.

The spelling of 144590040 in words is "one hundred forty-four million, five hundred ninety thousand, forty".