145300404015 has 128 divisors (see below), whose sum is σ = 293898931200. Its totient is φ = 67518696960.

The previous prime is 145300403999. The next prime is 145300404031. The reversal of 145300404015 is 510404003541.

It is a happy number.

145300404015 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145300403999) and next prime (145300404031).

It is not a de Polignac number, because 145300404015 - 2⁴ = 145300403999 is a prime.

It is a super-2 number, since 2×145300404015² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 145300404015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9228700 + ... + 9244430.

It is an arithmetic number, because the mean of its divisors is an integer number (2296085400).

Almost surely, 2^145300404015 is an apocalyptic number.

145300404015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145300404015 is an abundant number, since it is smaller than the sum of its proper divisors (148598527185).

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

145300404015 is a wasteful number, since it uses less digits than its factorization.

145300404015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16054 (or 16048 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 145300404015 its reverse (510404003541), we get a palindrome (655704407556).

The spelling of 145300404015 in words is "one hundred forty-five billion, three hundred million, four hundred four thousand, fifteen".