144359040 has 256 divisors, whose sum is σ = 549918720. Its totient is φ = 31494144.

The previous prime is 144359023. The next prime is 144359057. The reversal of 144359040 is 40953441.

It is an interprime number because it is at equal distance from previous prime (144359023) and next prime (144359057).

It is a super-4 number, since 4×144359040⁴ (a number of 34 digits) contains 4444 as substring.

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 = 144358989 and 144359007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308887 + ... + 309353.

It is an arithmetic number, because the mean of its divisors is an integer number (2148120).

Almost surely, 2^144359040 is an apocalyptic number.

144359040 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 144359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274959360).

144359040 is an abundant number, since it is smaller than the sum of its proper divisors (405559680).

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

144359040 is a wasteful number, since it uses less digits than its factorization.

144359040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 144359040 is about 12014.9506865405. The cubic root of 144359040 is about 524.5835427477.

The spelling of 144359040 in words is "one hundred forty-four million, three hundred fifty-nine thousand, forty".