145038168 has 64 divisors (see below), whose sum is σ = 439516800. Its totient is φ = 43950240.

The previous prime is 145038167. The next prime is 145038199. The reversal of 145038168 is 861830541.

145038168 is a `hidden beast` number, since 14 + 503 + 81 + 68 = 666.

It is a super-5 number, since 5×145038168⁵ (a number of 42 digits) contains 55555 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145038167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28146 + ... + 32897.

It is an arithmetic number, because the mean of its divisors is an integer number (6867450).

Almost surely, 2^145038168 is an apocalyptic number.

145038168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

145038168 is an abundant number, since it is smaller than the sum of its proper divisors (294478632).

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

145038168 is a wasteful number, since it uses less digits than its factorization.

145038168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61069 (or 61059 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 145038168 is about 12043.1793144502. The cubic root of 145038168 is about 525.4048795138.

The spelling of 145038168 in words is "one hundred forty-five million, thirty-eight thousand, one hundred sixty-eight".