145103563440 has 240 divisors, whose sum is σ = 531905527296. Its totient is φ = 35156851200.

The previous prime is 145103563439. The next prime is 145103563499. The reversal of 145103563440 is 44365301541.

145103563440 is a `hidden beast` number, since 1 + 4 + 5 + 10 + 3 + 5 + 634 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×145103563440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 145103563395 and 145103563404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18109035 + ... + 18117045.

Almost surely, 2^145103563440 is an apocalyptic number.

145103563440 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 145103563440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265952763648).

145103563440 is an abundant number, since it is smaller than the sum of its proper divisors (386801963856).

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

145103563440 is a wasteful number, since it uses less digits than its factorization.

145103563440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10328 (or 10319 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 145103563440 its reverse (44365301541), we get a palindrome (189468864981).

The spelling of 145103563440 in words is "one hundred forty-five billion, one hundred three million, five hundred sixty-three thousand, four hundred forty".