145915668 has 72 divisors (see below), whose sum is σ = 402685920. Its totient is φ = 46072800.

The previous prime is 145915661. The next prime is 145915669. The reversal of 145915668 is 866519541.

145915668 is a `hidden beast` number, since 1 + 4 + 591 + 56 + 6 + 8 = 666.

145915668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145915661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14518 + ... + 22418.

It is an arithmetic number, because the mean of its divisors is an integer number (5592860).

Almost surely, 2^145915668 is an apocalyptic number.

145915668 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 145915668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201342960).

145915668 is an abundant number, since it is smaller than the sum of its proper divisors (256770252).

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

145915668 is a wasteful number, since it uses less digits than its factorization.

145915668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7939 (or 7925 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 145915668 is about 12079.5557865345. Note that the first 3 decimals coincide. The cubic root of 145915668 is about 526.4623393326.

The spelling of 145915668 in words is "one hundred forty-five million, nine hundred fifteen thousand, six hundred sixty-eight".