144053640 has 160 divisors (see below), whose sum is σ = 488873880. Its totient is φ = 38043648.

The previous prime is 144053639. The next prime is 144053677. The reversal of 144053640 is 46350441.

144053640 is a `hidden beast` number, since 14 + 4 + 0 + 5 + 3 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 142420356 + 1633284 = 11934^2 + 1278^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 560392 + ... + 560648.

Almost surely, 2^144053640 is an apocalyptic number.

144053640 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 144053640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244436940).

144053640 is an abundant number, since it is smaller than the sum of its proper divisors (344820240).

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

144053640 is a wasteful number, since it uses less digits than its factorization.

144053640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 144053640 is about 12002.2347919044. The cubic root of 144053640 is about 524.2133525071.

The spelling of 144053640 in words is "one hundred forty-four million, fifty-three thousand, six hundred forty".