145202000 has 80 divisors (see below), whose sum is σ = 355929600. Its totient is φ = 57283200.

The previous prime is 145201997. The next prime is 145202003. The reversal of 145202000 is 202541.

It is an interprime number because it is at equal distance from previous prime (145201997) and next prime (145202003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145202003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157541 + ... + 158459.

It is an arithmetic number, because the mean of its divisors is an integer number (4449120).

Almost surely, 2^145202000 is an apocalyptic number.

145202000 is a gapful number since it is divisible by the number (10) 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 145202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177964800).

145202000 is an abundant number, since it is smaller than the sum of its proper divisors (210727600).

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

145202000 is an equidigital number, since it uses as much as digits as its factorization.

145202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 145202000 is about 12049.9792530942. The cubic root of 145202000 is about 525.6026337625.

Adding to 145202000 its reverse (202541), we get a palindrome (145404541).

The spelling of 145202000 in words is "one hundred forty-five million, two hundred two thousand".