144104640 has 112 divisors (see below), whose sum is σ = 470013792. Its totient is φ = 37380096.

The previous prime is 144104633. The next prime is 144104641. The reversal of 144104640 is 46401441.

It is a super-2 number, since 2×144104640² = 41532294539059200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 144104640.

It is not an unprimeable number, because it can be changed into a prime (144104641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33492 + ... + 37548.

Almost surely, 2^144104640 is an apocalyptic number.

144104640 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 144104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235006896).

144104640 is an abundant number, since it is smaller than the sum of its proper divisors (325909152).

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

144104640 is a wasteful number, since it uses less digits than its factorization.

144104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 144104640 is about 12004.3592082210. The cubic root of 144104640 is about 524.2752084624.

The spelling of 144104640 in words is "one hundred forty-four million, one hundred four thousand, six hundred forty".