145876368 has 80 divisors (see below), whose sum is σ = 413741376. Its totient is φ = 43921920.

The previous prime is 145876363. The next prime is 145876397. The reversal of 145876368 is 863678541.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (967680) is a multiple of the sum of its prime factors (1792).

It is not an unprimeable number, because it can be changed into a prime (145876363) 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, 90546 + ... + 92142.

Almost surely, 2^145876368 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 145876368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206870688).

145876368 is an abundant number, since it is smaller than the sum of its proper divisors (267865008).

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

145876368 is a wasteful number, since it uses less digits than its factorization.

145876368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1786 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 145876368 is about 12077.9289615397. The cubic root of 145876368 is about 526.4150704135.

The spelling of 145876368 in words is "one hundred forty-five million, eight hundred seventy-six thousand, three hundred sixty-eight".