145804680 has 96 divisors (see below), whose sum is σ = 541569600. Its totient is φ = 33326208.

The previous prime is 145804667. The next prime is 145804693. The reversal of 145804680 is 86408541.

145804680 is a `hidden beast` number, since 14 + 580 + 4 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145804667) and next prime (145804693).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26410 + ... + 31449.

It is an arithmetic number, because the mean of its divisors is an integer number (5641350).

Almost surely, 2^145804680 is an apocalyptic number.

145804680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145804680 is an abundant number, since it is smaller than the sum of its proper divisors (395764920).

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

145804680 is a wasteful number, since it uses less digits than its factorization.

145804680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57883 (or 57876 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 145804680 is about 12074.9608695018. The cubic root of 145804680 is about 526.3288242596.

The spelling of 145804680 in words is "one hundred forty-five million, eight hundred four thousand, six hundred eighty".