145561210560 has 168 divisors, whose sum is σ = 501022656576. Its totient is φ = 38788976640.

The previous prime is 145561210559. The next prime is 145561210609. The reversal of 145561210560 is 65012165541.

145561210560 is a `hidden beast` number, since 1 + 45 + 56 + 1 + 2 + 1 + 0 + 560 = 666.

145561210560 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4248217 + ... + 4282343.

Almost surely, 2^145561210560 is an apocalyptic number.

145561210560 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 145561210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250511328288).

145561210560 is an abundant number, since it is smaller than the sum of its proper divisors (355461446016).

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

145561210560 is a wasteful number, since it uses less digits than its factorization.

145561210560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35631 (or 35618 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 145561210560 in words is "one hundred forty-five billion, five hundred sixty-one million, two hundred ten thousand, five hundred sixty".