145530210210 has 288 divisors, whose sum is σ = 461014073856. Its totient is φ = 29263449600.

The previous prime is 145530210181. The next prime is 145530210223. The reversal of 145530210210 is 12012035541.

It is a happy number.

145530210210 is a modest number, since divided by 210210 gives 145530 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5500774 + ... + 5527166.

It is an arithmetic number, because the mean of its divisors is an integer number (1600743312).

Almost surely, 2^145530210210 is an apocalyptic number.

145530210210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145530210210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230507036928).

145530210210 is an abundant number, since it is smaller than the sum of its proper divisors (315483863646).

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

145530210210 is a wasteful number, since it uses less digits than its factorization.

145530210210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26470 (or 26452 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 145530210210 its reverse (12012035541), we get a palindrome (157542245751).

The spelling of 145530210210 in words is "one hundred forty-five billion, five hundred thirty million, two hundred ten thousand, two hundred ten".