145819680 has 192 divisors, whose sum is σ = 493516800. Its totient is φ = 36080640.

The previous prime is 145819679. The next prime is 145819703. The reversal of 145819680 is 86918541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 537945 + ... + 538215.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 2^145819680 is an apocalyptic number.

145819680 is a gapful number since it is divisible by the number (10) 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 145819680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246758400).

145819680 is an abundant number, since it is smaller than the sum of its proper divisors (347697120).

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

145819680 is a wasteful number, since it uses less digits than its factorization.

145819680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 145819680 is about 12075.5819735531. The cubic root of 145819680 is about 526.3468727467.

The spelling of 145819680 in words is "one hundred forty-five million, eight hundred nineteen thousand, six hundred eighty".