145864780560 has 200 divisors, whose sum is σ = 507414784536. Its totient is φ = 38835486720.

The previous prime is 145864780549. The next prime is 145864780601. The reversal of 145864780560 is 65087468541.

145864780560 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 6 + 4 + 78 + 0 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4392508176 + 141472272384 = 66276^2 + 376128^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 145864780497 and 145864780506.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4136122 + ... + 4171238.

Almost surely, 2^145864780560 is an apocalyptic number.

145864780560 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 145864780560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253707392268).

145864780560 is an abundant number, since it is smaller than the sum of its proper divisors (361550003976).

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

145864780560 is a wasteful number, since it uses less digits than its factorization.

145864780560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35783 (or 35768 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 145864780560 in words is "one hundred forty-five billion, eight hundred sixty-four million, seven hundred eighty thousand, five hundred sixty".