145145968 has 80 divisors (see below), whose sum is σ = 325693440. Its totient is φ = 62035200.

The previous prime is 145145953. The next prime is 145145971. The reversal of 145145968 is 869541541.

Its product of digits (172800) is a multiple of the sum of its prime divisors (800).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201513 + ... + 202231.

It is an arithmetic number, because the mean of its divisors is an integer number (4071168).

Almost surely, 2^145145968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145145968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162846720).

145145968 is an abundant number, since it is smaller than the sum of its proper divisors (180547472).

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

145145968 is a wasteful number, since it uses less digits than its factorization.

145145968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 800 counting only the distinct ones).

The product of its digits is 172800, while the sum is 43.

The square root of 145145968 is about 12047.6540454978. The cubic root of 145145968 is about 525.5350167972.

The spelling of 145145968 in words is "one hundred forty-five million, one hundred forty-five thousand, nine hundred sixty-eight".