145536982560 has 288 divisors, whose sum is σ = 514995848640. Its totient is φ = 37382252544.

The previous prime is 145536982471. The next prime is 145536982561. The reversal of 145536982560 is 65289635541.

145536982560 is a `hidden beast` number, since 1 + 4 + 553 + 6 + 9 + 8 + 25 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 145536982497 and 145536982506.

It is not an unprimeable number, because it can be changed into a prime (145536982561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18495747 + ... + 18503613.

It is an arithmetic number, because the mean of its divisors is an integer number (1788180030).

Almost surely, 2^145536982560 is an apocalyptic number.

145536982560 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 145536982560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257497924320).

145536982560 is an abundant number, since it is smaller than the sum of its proper divisors (369458866080).

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

145536982560 is a wasteful number, since it uses less digits than its factorization.

145536982560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8360 (or 8349 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 145536982560 in words is "one hundred forty-five billion, five hundred thirty-six million, nine hundred eighty-two thousand, five hundred sixty".