145680640 has 144 divisors (see below), whose sum is σ = 406183680. Its totient is φ = 49029120.

The previous prime is 145680631. The next prime is 145680673. The reversal of 145680640 is 46086541.

It is a junction number, because it is equal to n+sod(n) for n = 145680596 and 145680605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 636046 + ... + 636274.

It is an arithmetic number, because the mean of its divisors is an integer number (2820720).

Almost surely, 2^145680640 is an apocalyptic number.

145680640 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 145680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203091840).

145680640 is an abundant number, since it is smaller than the sum of its proper divisors (260503040).

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

145680640 is an equidigital number, since it uses as much as digits as its factorization.

145680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 145680640 is about 12069.8235281217. The cubic root of 145680640 is about 526.1795278411.

The spelling of 145680640 in words is "one hundred forty-five million, six hundred eighty thousand, six hundred forty".