145648368 has 70 divisors (see below), whose sum is σ = 423130904. Its totient is φ = 48545568.

The previous prime is 145648361. The next prime is 145648369. The reversal of 145648368 is 863846541.

145648368 is a `hidden beast` number, since 1 + 4 + 564 + 83 + 6 + 8 = 666.

145648368 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 (145648361) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5421 + ... + 17907.

Almost surely, 2^145648368 is an apocalyptic number.

145648368 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 145648368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211565452).

145648368 is an abundant number, since it is smaller than the sum of its proper divisors (277482536).

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

145648368 is an equidigital number, since it uses as much as digits as its factorization.

145648368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12513 (or 12492 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 145648368 is about 12068.4865662601. The cubic root of 145648368 is about 526.1406708825.

The spelling of 145648368 in words is "one hundred forty-five million, six hundred forty-eight thousand, three hundred sixty-eight".