145869768 has 192 divisors, whose sum is σ = 464068800. Its totient is φ = 42094080.

The previous prime is 145869767. The next prime is 145869781. The reversal of 145869768 is 867968541.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (145869767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1998180 + ... + 1998252.

It is an arithmetic number, because the mean of its divisors is an integer number (2417025).

Almost surely, 2^145869768 is an apocalyptic number.

145869768 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 145869768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232034400).

145869768 is an abundant number, since it is smaller than the sum of its proper divisors (318199032).

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

145869768 is a wasteful number, since it uses less digits than its factorization.

145869768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 118 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 145869768 is about 12077.6557327985. The cubic root of 145869768 is about 526.4071312892.

The spelling of 145869768 in words is "one hundred forty-five million, eight hundred sixty-nine thousand, seven hundred sixty-eight".