145133568 has 156 divisors (see below), whose sum is σ = 436154368. Its totient is φ = 46448640.

The previous prime is 145133561. The next prime is 145133587. The reversal of 145133568 is 865331541.

145133568 is a `hidden beast` number, since 14 + 51 + 33 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145133561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1142721 + ... + 1142847.

Almost surely, 2^145133568 is an apocalyptic number.

145133568 is a gapful number since it is divisible by the number (18) 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 145133568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218077184).

145133568 is an abundant number, since it is smaller than the sum of its proper divisors (291020800).

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

145133568 is a wasteful number, since it uses less digits than its factorization.

145133568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 163 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 145133568 is about 12047.1394114952. The cubic root of 145133568 is about 525.5200506683.

It can be divided in two parts, 14513 and 3568, that added together give a palindrome (18081).

The spelling of 145133568 in words is "one hundred forty-five million, one hundred thirty-three thousand, five hundred sixty-eight".