145255120 has 80 divisors (see below), whose sum is σ = 356762880. Its totient is φ = 54889472.

The previous prime is 145255111. The next prime is 145255147. The reversal of 145255120 is 21552541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 163317 + ... + 164203.

It is an arithmetic number, because the mean of its divisors is an integer number (4459536).

Almost surely, 2^145255120 is an apocalyptic number.

145255120 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 145255120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178381440).

145255120 is an abundant number, since it is smaller than the sum of its proper divisors (211507760).

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

145255120 is a wasteful number, since it uses less digits than its factorization.

145255120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 145255120 is about 12052.1832047144. The cubic root of 145255120 is about 525.6667205931. Note that the first 3 decimals are identical.

The spelling of 145255120 in words is "one hundred forty-five million, two hundred fifty-five thousand, one hundred twenty".