145602000 has 120 divisors (see below), whose sum is σ = 508602120. Its totient is φ = 38822400.

The previous prime is 145601987. The next prime is 145602007. The reversal of 145602000 is 206541.

It is a happy number.

145602000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 39841344 + 105760656 = 6312^2 + 10284^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145602007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13956 + ... + 22044.

It is an arithmetic number, because the mean of its divisors is an integer number (4238351).

Almost surely, 2^145602000 is an apocalyptic number.

145602000 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 145602000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254301060).

145602000 is an abundant number, since it is smaller than the sum of its proper divisors (363000120).

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

145602000 is a wasteful number, since it uses less digits than its factorization.

145602000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8118 (or 8099 counting only the distinct ones).

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

The square root of 145602000 is about 12066.5653771071. The cubic root of 145602000 is about 526.0848316484.

Adding to 145602000 its reverse (206541), we get a palindrome (145808541).

The spelling of 145602000 in words is "one hundred forty-five million, six hundred two thousand".