144117840 has 80 divisors (see below), whose sum is σ = 473059008. Its totient is φ = 36169728.

The previous prime is 144117833. The next prime is 144117851. The reversal of 144117840 is 48711441.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 144117798 and 144117807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13582 + ... + 21741.

Almost surely, 2^144117840 is an apocalyptic number.

144117840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144117840 is an abundant number, since it is smaller than the sum of its proper divisors (328941168).

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

144117840 is a wasteful number, since it uses less digits than its factorization.

144117840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35356 (or 35350 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 144117840 is about 12004.9089959066. The cubic root of 144117840 is about 524.2912158616.

The spelling of 144117840 in words is "one hundred forty-four million, one hundred seventeen thousand, eight hundred forty".