145215000 has 240 divisors, whose sum is σ = 562882320. Its totient is φ = 33120000.

The previous prime is 145214963. The next prime is 145215001. The reversal of 145215000 is 512541.

145215000 is a `hidden beast` number, since 145 + 21 + 500 + 0 = 666.

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 (145215001) 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 59 ways as a sum of consecutive naturals, for example, 314770 + ... + 315230.

It is an arithmetic number, because the mean of its divisors is an integer number (2345343).

Almost surely, 2^145215000 is an apocalyptic number.

145215000 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 145215000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281441160).

145215000 is an abundant number, since it is smaller than the sum of its proper divisors (417667320).

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

145215000 is a wasteful number, since it uses less digits than its factorization.

145215000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 145215000 is about 12050.5186610370. The cubic root of 145215000 is about 525.6183191074.

Adding to 145215000 its reverse (512541), we get a palindrome (145727541).

The spelling of 145215000 in words is "one hundred forty-five million, two hundred fifteen thousand".