145564561152 has 108 divisors (see below), whose sum is σ = 419979760200. Its totient is φ = 48489007104.

The previous prime is 145564561151. The next prime is 145564561189. The reversal of 145564561152 is 251165465541.

145564561152 is a `hidden beast` number, since 1 + 4 + 556 + 45 + 6 + 1 + 1 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 145564561098 and 145564561107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145564561151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3548503 + ... + 3589289.

Almost surely, 2^145564561152 is an apocalyptic number.

145564561152 is a gapful number since it is divisible by the number (12) 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 145564561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209989880100).

145564561152 is an abundant number, since it is smaller than the sum of its proper divisors (274415199048).

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

145564561152 is a wasteful number, since it uses less digits than its factorization.

145564561152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42358 (or 42341 counting only the distinct ones).

The product of its digits is 720000, while the sum is 45.

The spelling of 145564561152 in words is "one hundred forty-five billion, five hundred sixty-four million, five hundred sixty-one thousand, one hundred fifty-two".