145682020 has 96 divisors (see below), whose sum is σ = 353590272. Its totient is φ = 49920000.

The previous prime is 145681981. The next prime is 145682029. The reversal of 145682020 is 20286541.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 145682020.

It is not an unprimeable number, because it can be changed into a prime (145682029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279360 + ... + 279880.

It is an arithmetic number, because the mean of its divisors is an integer number (3683232).

Almost surely, 2^145682020 is an apocalyptic number.

145682020 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 145682020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176795136).

145682020 is an abundant number, since it is smaller than the sum of its proper divisors (207908252).

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

145682020 is a wasteful number, since it uses less digits than its factorization.

145682020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 145682020 is about 12069.8806953507. The cubic root of 145682020 is about 526.1811892960.

The spelling of 145682020 in words is "one hundred forty-five million, six hundred eighty-two thousand, twenty".