144739628460 has 384 divisors, whose sum is σ = 521153740800. Its totient is φ = 32666699520.

The previous prime is 144739628443. The next prime is 144739628489. The reversal of 144739628460 is 64826937441.

144739628460 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 3 + 9 + 628 + 4 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 144739628397 and 144739628406.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 118347409 + ... + 118348631.

It is an arithmetic number, because the mean of its divisors is an integer number (1357171200).

Almost surely, 2^144739628460 is an apocalyptic number.

144739628460 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 144739628460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260576870400).

144739628460 is an abundant number, since it is smaller than the sum of its proper divisors (376414112340).

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

144739628460 is a wasteful number, since it uses less digits than its factorization.

144739628460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 144739628460 in words is "one hundred forty-four billion, seven hundred thirty-nine million, six hundred twenty-eight thousand, four hundred sixty".