145013413120 has 36 divisors (see below), whose sum is σ = 347352444180. Its totient is φ = 58005364736.

The previous prime is 145013413117. The next prime is 145013413123. The reversal of 145013413120 is 21314310541.

It is an interprime number because it is at equal distance from previous prime (145013413117) and next prime (145013413123).

It can be written as a sum of positive squares in 2 ways, for example, as 59450142976 + 85563270144 = 243824^2 + 292512^2 .

It is a super-3 number, since 3×145013413120³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145013413123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56644585 + ... + 56647144.

It is an arithmetic number, because the mean of its divisors is an integer number (9648679005).

Almost surely, 2^145013413120 is an apocalyptic number.

145013413120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145013413120 is an abundant number, since it is smaller than the sum of its proper divisors (202339031060).

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

145013413120 is an equidigital number, since it uses as much as digits as its factorization.

145013413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113291750 (or 113291736 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 145013413120 its reverse (21314310541), we get a palindrome (166327723661).

The spelling of 145013413120 in words is "one hundred forty-five billion, thirteen million, four hundred thirteen thousand, one hundred twenty".