145201504 has 48 divisors (see below), whose sum is σ = 333396000. Its totient is φ = 62224512.

The previous prime is 145201501. The next prime is 145201523. The reversal of 145201504 is 405102541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145201501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4362 + ... + 17590.

It is an arithmetic number, because the mean of its divisors is an integer number (6945750).

Almost surely, 2^145201504 is an apocalyptic number.

145201504 is a gapful number since it is divisible by the number (14) 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 145201504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166698000).

145201504 is an abundant number, since it is smaller than the sum of its proper divisors (188194496).

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

145201504 is an equidigital number, since it uses as much as digits as its factorization.

145201504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13260 (or 13238 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 145201504 is about 12049.9586721283. The cubic root of 145201504 is about 525.6020352878.

The spelling of 145201504 in words is "one hundred forty-five million, two hundred one thousand, five hundred four".