145130836896 has 72 divisors (see below), whose sum is σ = 412904628864. Its totient is φ = 48354814080.

The previous prime is 145130836891. The next prime is 145130836913. The reversal of 145130836896 is 698638031541.

145130836896 is a `hidden beast` number, since 1 + 4 + 513 + 0 + 8 + 36 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (145130836891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 521451 + ... + 749781.

It is an arithmetic number, because the mean of its divisors is an integer number (5734786512).

Almost surely, 2^145130836896 is an apocalyptic number.

145130836896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145130836896 is an abundant number, since it is smaller than the sum of its proper divisors (267773791968).

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

145130836896 is a wasteful number, since it uses less digits than its factorization.

145130836896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230554 (or 230543 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 145130836896 in words is "one hundred forty-five billion, one hundred thirty million, eight hundred thirty-six thousand, eight hundred ninety-six".