145635875880 has 192 divisors, whose sum is σ = 495730368000. Its totient is φ = 34166668800.

The previous prime is 145635875867. The next prime is 145635875887. The reversal of 145635875880 is 88578536541.

145635875880 is digitally balanced in base 3, 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 (60).

It is not an unprimeable number, because it can be changed into a prime (145635875887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288346 + ... + 611894.

It is an arithmetic number, because the mean of its divisors is an integer number (2581929000).

Almost surely, 2^145635875880 is an apocalyptic number.

145635875880 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 145635875880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247865184000).

145635875880 is an abundant number, since it is smaller than the sum of its proper divisors (350094492120).

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

145635875880 is a wasteful number, since it uses less digits than its factorization.

145635875880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323616 (or 323601 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 60.

The spelling of 145635875880 in words is "one hundred forty-five billion, six hundred thirty-five million, eight hundred seventy-five thousand, eight hundred eighty".