145525968 has 120 divisors (see below), whose sum is σ = 485766528. Its totient is φ = 39764736.

The previous prime is 145525949. The next prime is 145525987. The reversal of 145525968 is 869525541.

145525968 is a `hidden beast` number, since 1 + 4 + 5 + 52 + 596 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (145525949) and next prime (145525987).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20046 + ... + 26322.

Almost surely, 2^145525968 is an apocalyptic number.

145525968 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 145525968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242883264).

145525968 is an abundant number, since it is smaller than the sum of its proper divisors (340240560).

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

145525968 is a wasteful number, since it uses less digits than its factorization.

145525968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6321 (or 6312 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 145525968 is about 12063.4144420226. The cubic root of 145525968 is about 525.9932435146.

The spelling of 145525968 in words is "one hundred forty-five million, five hundred twenty-five thousand, nine hundred sixty-eight".