145082683360 has 192 divisors, whose sum is σ = 361835195904. Its totient is φ = 54896025600.

The previous prime is 145082683351. The next prime is 145082683363. The reversal of 145082683360 is 63386280541.

It is a self number, because there is not a number n which added to its sum of digits gives 145082683360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145082683363) 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, 83332090 + ... + 83333830.

It is an arithmetic number, because the mean of its divisors is an integer number (1884558312).

Almost surely, 2^145082683360 is an apocalyptic number.

145082683360 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 145082683360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180917597952).

145082683360 is an abundant number, since it is smaller than the sum of its proper divisors (216752512544).

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

145082683360 is a wasteful number, since it uses less digits than its factorization.

145082683360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 145082683360 in words is "one hundred forty-five billion, eighty-two million, six hundred eighty-three thousand, three hundred sixty".