145005120 has 224 divisors, whose sum is σ = 551322240. Its totient is φ = 35665920.

The previous prime is 145005101. The next prime is 145005127. The reversal of 145005120 is 21500541.

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

It is a junction number, because it is equal to n+sod(n) for n = 145005093 and 145005102.

It is not an unprimeable number, because it can be changed into a prime (145005127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111675 + ... + 112965.

It is an arithmetic number, because the mean of its divisors is an integer number (2461260).

Almost surely, 2^145005120 is an apocalyptic number.

145005120 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 145005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275661120).

145005120 is an abundant number, since it is smaller than the sum of its proper divisors (406317120).

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

145005120 is a wasteful number, since it uses less digits than its factorization.

145005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1314 counting only the distinct ones).

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

The square root of 145005120 is about 12041.8071733440. The cubic root of 145005120 is about 525.3649707098.

Adding to 145005120 its reverse (21500541), we get a palindrome (166505661).

The spelling of 145005120 in words is "one hundred forty-five million, five thousand, one hundred twenty".