145345786560 has 1120 divisors, whose sum is σ = 603572275200. Its totient is φ = 32801034240.

The previous prime is 145345786549. The next prime is 145345786583. The reversal of 145345786560 is 65687543541.

It is a happy number.

145345786560 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 4 + 5 + 78 + 6 + 560 = 666.

145345786560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145345786560² (a number of 23 digits) contains 22 as substring.

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 = 145345786497 and 145345786506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4688573745 + ... + 4688573775.

Almost surely, 2^145345786560 is an apocalyptic number.

145345786560 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 145345786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301786137600).

145345786560 is an abundant number, since it is smaller than the sum of its proper divisors (458226488640).

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

145345786560 is an equidigital number, since it uses as much as digits as its factorization.

145345786560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 145345786560 in words is "one hundred forty-five billion, three hundred forty-five million, seven hundred eighty-six thousand, five hundred sixty".