145131168 has 192 divisors, whose sum is σ = 482630400. Its totient is φ = 37158912.

The previous prime is 145131163. The next prime is 145131169. The reversal of 145131168 is 861131541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145131163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323008 + ... + 323456.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 2^145131168 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 145131168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241315200).

145131168 is an abundant number, since it is smaller than the sum of its proper divisors (337499232).

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

145131168 is a wasteful number, since it uses less digits than its factorization.

145131168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 511 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 145131168 is about 12047.0398023747. The cubic root of 145131168 is about 525.5171538997.

The spelling of 145131168 in words is "one hundred forty-five million, one hundred thirty-one thousand, one hundred sixty-eight".