144365952060 has 288 divisors, whose sum is σ = 487353065472. Its totient is φ = 34298933760.

The previous prime is 144365952041. The next prime is 144365952077. The reversal of 144365952060 is 60259563441.

144365952060 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 65 + 9 + 520 + 60 = 666.

It is a super-2 number, since 2×144365952060² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 144365951997 and 144365952015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20867722 + ... + 20874638.

It is an arithmetic number, because the mean of its divisors is an integer number (1692198144).

Almost surely, 2^144365952060 is an apocalyptic number.

144365952060 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 144365952060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243676532736).

144365952060 is an abundant number, since it is smaller than the sum of its proper divisors (342987113412).

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

144365952060 is a wasteful number, since it uses less digits than its factorization.

144365952060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7153 (or 7148 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 144365952060 in words is "one hundred forty-four billion, three hundred sixty-five million, nine hundred fifty-two thousand, sixty".