144521640 has 96 divisors (see below), whose sum is σ = 472871880. Its totient is φ = 38278656.

The previous prime is 144521639. The next prime is 144521651. The reversal of 144521640 is 46125441.

144521640 is a `hidden beast` number, since 1 + 445 + 216 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97653924 + 46867716 = 9882^2 + 6846^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55242 + ... + 57798.

Almost surely, 2^144521640 is an apocalyptic number.

144521640 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 144521640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236435940).

144521640 is an abundant number, since it is smaller than the sum of its proper divisors (328350240).

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

144521640 is a wasteful number, since it uses less digits than its factorization.

144521640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 144521640 is about 12021.7153518123. The cubic root of 144521640 is about 524.7804251851.

It can be divided in two parts, 144521 and 640, that added together give a square (145161 = 381²).

The spelling of 144521640 in words is "one hundred forty-four million, five hundred twenty-one thousand, six hundred forty".