145782786560 has 320 divisors, whose sum is σ = 383394211200. Its totient is φ = 52951449600.

The previous prime is 145782786559. The next prime is 145782786563. The reversal of 145782786560 is 65687287541.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 145782786560.

It is not an unprimeable number, because it can be changed into a prime (145782786563) 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, 255311075 + ... + 255311645.

It is an arithmetic number, because the mean of its divisors is an integer number (1198106910).

Almost surely, 2^145782786560 is an apocalyptic number.

145782786560 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 145782786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191697105600).

145782786560 is an abundant number, since it is smaller than the sum of its proper divisors (237611424640).

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

145782786560 is a wasteful number, since it uses less digits than its factorization.

145782786560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 59.

The spelling of 145782786560 in words is "one hundred forty-five billion, seven hundred eighty-two million, seven hundred eighty-six thousand, five hundred sixty".