145982560 has 24 divisors (see below), whose sum is σ = 344884176. Its totient is φ = 58392960.

The previous prime is 145982539. The next prime is 145982569. The reversal of 145982560 is 65289541.

It is a super-3 number, since 3×145982560³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145982569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 456036 + ... + 456355.

It is an arithmetic number, because the mean of its divisors is an integer number (14370174).

Almost surely, 2^145982560 is an apocalyptic number.

145982560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145982560 is an abundant number, since it is smaller than the sum of its proper divisors (198901616).

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

145982560 is an equidigital number, since it uses as much as digits as its factorization.

145982560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912406 (or 912398 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 145982560 is about 12082.3242797071. The cubic root of 145982560 is about 526.5427756086.

The spelling of 145982560 in words is "one hundred forty-five million, nine hundred eighty-two thousand, five hundred sixty".