145322208 has 48 divisors (see below), whose sum is σ = 423858960. Its totient is φ = 48440448.

The previous prime is 145322173. The next prime is 145322267. The reversal of 145322208 is 802223541.

145322208 is a `hidden beast` number, since 1 + 453 + 2 + 2 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×145322208² = 42237088275990528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 83235 + ... + 84962.

It is an arithmetic number, because the mean of its divisors is an integer number (8830395).

Almost surely, 2^145322208 is an apocalyptic number.

145322208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

145322208 is an abundant number, since it is smaller than the sum of its proper divisors (278536752).

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

145322208 is a wasteful number, since it uses less digits than its factorization.

145322208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168216 (or 168202 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 145322208 is about 12054.9661135982. The cubic root of 145322208 is about 525.7476368481.

Adding to 145322208 its reverse (802223541), we get a palindrome (947545749).

It can be divided in two parts, 145322 and 208, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 145322208 in words is "one hundred forty-five million, three hundred twenty-two thousand, two hundred eight".