145598208 has 216 divisors, whose sum is σ = 465565968. Its totient is φ = 40255488.

The previous prime is 145598207. The next prime is 145598213. The reversal of 145598208 is 802895541.

It is a happy number.

It is a super-2 number, since 2×145598208² = 42397676345622528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 145598208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145598207) 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, 1994460 + ... + 1994532.

It is an arithmetic number, because the mean of its divisors is an integer number (2155398).

Almost surely, 2^145598208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145598208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232782984).

145598208 is an abundant number, since it is smaller than the sum of its proper divisors (319967760).

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

145598208 is an equidigital number, since it uses as much as digits as its factorization.

145598208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 145598208 is about 12066.4082476933. The cubic root of 145598208 is about 526.0802645614.

The spelling of 145598208 in words is "one hundred forty-five million, five hundred ninety-eight thousand, two hundred eight".