145680444 has 216 divisors, whose sum is σ = 478351328. Its totient is φ = 37791360.

The previous prime is 145680443. The next prime is 145680449. The reversal of 145680444 is 444086541.

It is a happy number.

145680444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 145680399 and 145680408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145680443) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2388174 + ... + 2388234.

Almost surely, 2^145680444 is an apocalyptic number.

145680444 is a gapful number since it is divisible by the number (14) 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 145680444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239175664).

145680444 is an abundant number, since it is smaller than the sum of its proper divisors (332670884).

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

145680444 is an equidigital number, since it uses as much as digits as its factorization.

145680444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 145680444 is about 12069.8154086962. The cubic root of 145680444 is about 526.1792918655.

The spelling of 145680444 in words is "one hundred forty-five million, six hundred eighty thousand, four hundred forty-four".