145682848080 has 1600 divisors, whose sum is σ = 674791096320. Its totient is φ = 28452695040.

The previous prime is 145682848063. The next prime is 145682848097. The reversal of 145682848080 is 80848286541.

145682848080 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 82 + 8 + 480 + 80 = 666.

145682848080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145682848063) and next prime (145682848097).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1147108977 + ... + 1147109103.

Almost surely, 2^145682848080 is an apocalyptic number.

145682848080 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 145682848080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337395548160).

145682848080 is an abundant number, since it is smaller than the sum of its proper divisors (529108248240).

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

145682848080 is a wasteful number, since it uses less digits than its factorization.

145682848080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 145682848080 in words is "one hundred forty-five billion, six hundred eighty-two million, eight hundred forty-eight thousand, eighty".