145034208 has 144 divisors (see below), whose sum is σ = 476579376. Its totient is φ = 41349120.

The previous prime is 145034189. The next prime is 145034209. The reversal of 145034208 is 802430541.

145034208 is a `hidden beast` number, since 1 + 450 + 3 + 4 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145034209) by changing a digit.

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, 52510 + ... + 55202.

It is an arithmetic number, because the mean of its divisors is an integer number (3309579).

Almost surely, 2^145034208 is an apocalyptic number.

145034208 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 145034208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238289688).

145034208 is an abundant number, since it is smaller than the sum of its proper divisors (331545168).

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

145034208 is a wasteful number, since it uses less digits than its factorization.

145034208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2726 counting only the distinct ones).

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

The square root of 145034208 is about 12043.0149049148. The cubic root of 145034208 is about 525.4000977328.

Adding to 145034208 its reverse (802430541), we get a palindrome (947464749).

The spelling of 145034208 in words is "one hundred forty-five million, thirty-four thousand, two hundred eight".