145964808 has 128 divisors (see below), whose sum is σ = 461721600. Its totient is φ = 42292800.

The previous prime is 145964807. The next prime is 145964827. The reversal of 145964808 is 808469541.

145964808 is a `hidden beast` number, since 14 + 596 + 48 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (145964807) 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 31 ways as a sum of consecutive naturals, for example, 53313 + ... + 55983.

It is an arithmetic number, because the mean of its divisors is an integer number (3607200).

Almost surely, 2^145964808 is an apocalyptic number.

145964808 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 145964808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230860800).

145964808 is an abundant number, since it is smaller than the sum of its proper divisors (315756792).

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

145964808 is a wasteful number, since it uses less digits than its factorization.

145964808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 145964808 is about 12081.5896305081. The cubic root of 145964808 is about 526.5214315835.

The spelling of 145964808 in words is "one hundred forty-five million, nine hundred sixty-four thousand, eight hundred eight".