144100656 has 120 divisors (see below), whose sum is σ = 468898560. Its totient is φ = 40457088.

The previous prime is 144100643. The next prime is 144100657. The reversal of 144100656 is 656001441.

144100656 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 0 + 0 + 656 = 666.

It is not an unprimeable number, because it can be changed into a prime (144100657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58261 + ... + 60683.

It is an arithmetic number, because the mean of its divisors is an integer number (3907488).

Almost surely, 2^144100656 is an apocalyptic number.

144100656 is a gapful number since it is divisible by the number (16) 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 144100656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234449280).

144100656 is an abundant number, since it is smaller than the sum of its proper divisors (324797904).

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

144100656 is a wasteful number, since it uses less digits than its factorization.

144100656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503 (or 2494 counting only the distinct ones).

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

The square root of 144100656 is about 12004.1932673545. The cubic root of 144100656 is about 524.2703769463.

The spelling of 144100656 in words is "one hundred forty-four million, one hundred thousand, six hundred fifty-six".