145514116246240 has 144 divisors (see below), whose sum is σ = 404966050372800. Its totient is φ = 49259027930112.

The previous prime is 145514116246223. The next prime is 145514116246241. The reversal of 145514116246240 is 42642611415541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145514116246241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 116851995 + ... + 118090714.

It is an arithmetic number, because the mean of its divisors is an integer number (2812264238700).

Almost surely, 2^{145514116246240} is an apocalyptic number.

145514116246240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145514116246240 is an abundant number, since it is smaller than the sum of its proper divisors (259451934126560).

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

145514116246240 is a wasteful number, since it uses less digits than its factorization.

145514116246240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234942817 (or 234942802 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The spelling of 145514116246240 in words is "one hundred forty-five trillion, five hundred fourteen billion, one hundred sixteen million, two hundred forty-six thousand, two hundred forty".