145115120 has 20 divisors (see below), whose sum is σ = 337392840. Its totient is φ = 58046016.

The previous prime is 145115063. The next prime is 145115129. The reversal of 145115120 is 21511541.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×145115120² = 42116796105228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 145115092 and 145115101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145115129) 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 3 ways as a sum of consecutive naturals, for example, 906890 + ... + 907049.

It is an arithmetic number, because the mean of its divisors is an integer number (16869642).

Almost surely, 2^145115120 is an apocalyptic number.

145115120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145115120 is an abundant number, since it is smaller than the sum of its proper divisors (192277720).

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

145115120 is a wasteful number, since it uses less digits than its factorization.

145115120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813952 (or 1813946 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 145115120 is about 12046.3737282221. The cubic root of 145115120 is about 525.4977833531.

Adding to 145115120 its reverse (21511541), we get a palindrome (166626661).

The spelling of 145115120 in words is "one hundred forty-five million, one hundred fifteen thousand, one hundred twenty".