145387968 has 224 divisors, whose sum is σ = 454712832. Its totient is φ = 40550400.

The previous prime is 145387951. The next prime is 145387969. The reversal of 145387968 is 869783541.

It is a super-2 number, since 2×145387968² = 42275322478338048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145387968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145387969) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1991580 + ... + 1991652.

It is an arithmetic number, because the mean of its divisors is an integer number (2029968).

Almost surely, 2^145387968 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 145387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227356416).

145387968 is an abundant number, since it is smaller than the sum of its proper divisors (309324864).

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

145387968 is a wasteful number, since it uses less digits than its factorization.

145387968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 145387968 is about 12057.6933117408. The cubic root of 145387968 is about 525.8269272090.

The spelling of 145387968 in words is "one hundred forty-five million, three hundred eighty-seven thousand, nine hundred sixty-eight".