144086880 has 384 divisors, whose sum is σ = 569963520. Its totient is φ = 29859840.

The previous prime is 144086879. The next prime is 144086893. The reversal of 144086880 is 88680441.

It is a super-2 number, since 2×144086880² = 41522057976268800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2362050 + ... + 2362110.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 2^144086880 is an apocalyptic number.

144086880 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 144086880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284981760).

144086880 is an abundant number, since it is smaller than the sum of its proper divisors (425876640).

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

144086880 is a wasteful number, since it uses less digits than its factorization.

144086880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 144086880 is about 12003.6194541480. The cubic root of 144086880 is about 524.2536696921.

The spelling of 144086880 in words is "one hundred forty-four million, eighty-six thousand, eight hundred eighty".