145204000 has 96 divisors (see below), whose sum is σ = 368589312. Its totient is φ = 56160000.

The previous prime is 145203977. The next prime is 145204019. The reversal of 145204000 is 402541.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 123415 + ... + 124585.

It is an arithmetic number, because the mean of its divisors is an integer number (3839472).

Almost surely, 2^145204000 is an apocalyptic number.

145204000 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 145204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184294656).

145204000 is an abundant number, since it is smaller than the sum of its proper divisors (223385312).

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

145204000 is a wasteful number, since it uses less digits than its factorization.

145204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 145204000 is about 12050.0622405032. The cubic root of 145204000 is about 525.6050469535.

Adding to 145204000 its reverse (402541), we get a palindrome (145606541).

The spelling of 145204000 in words is "one hundred forty-five million, two hundred four thousand".