145320210 has 128 divisors (see below), whose sum is σ = 462274560. Its totient is φ = 31762368.

The previous prime is 145320181. The next prime is 145320211. The reversal of 145320210 is 12023541.

145320210 is a `hidden beast` number, since 1 + 453 + 2 + 0 + 210 = 666.

It is a super-2 number, since 2×145320210² = 42235926868888200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (145320211) 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 63 ways as a sum of consecutive naturals, for example, 41799 + ... + 45141.

It is an arithmetic number, because the mean of its divisors is an integer number (3611520).

Almost surely, 2^145320210 is an apocalyptic number.

145320210 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 145320210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231137280).

145320210 is an abundant number, since it is smaller than the sum of its proper divisors (316954350).

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

145320210 is a wasteful number, since it uses less digits than its factorization.

145320210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 145320210 is about 12054.8832429020. The cubic root of 145320210 is about 525.7452273779.

Adding to 145320210 its reverse (12023541), we get a palindrome (157343751).

It can be divided in two parts, 145320 and 210, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 145320210 in words is "one hundred forty-five million, three hundred twenty thousand, two hundred ten".