145365581460 has 288 divisors, whose sum is σ = 458166119040. Its totient is φ = 34147942400.

The previous prime is 145365581443. The next prime is 145365581507. The reversal of 145365581460 is 64185563541.

It is a super-2 number, since 2×145365581460² (a number of 23 digits) contains 22 as substring.

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, 165000220 + ... + 165001100.

It is an arithmetic number, because the mean of its divisors is an integer number (1590854580).

Almost surely, 2^145365581460 is an apocalyptic number.

145365581460 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 145365581460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229083059520).

145365581460 is an abundant number, since it is smaller than the sum of its proper divisors (312800537580).

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

145365581460 is a wasteful number, since it uses less digits than its factorization.

145365581460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

It can be divided in two parts, 145365 and 581460, that multiplied together give a square (84523932900 = 290730²).

The spelling of 145365581460 in words is "one hundred forty-five billion, three hundred sixty-five million, five hundred eighty-one thousand, four hundred sixty".