345280134144 has 176 divisors, whose sum is σ = 1004769786240. Its totient is φ = 104546058240.

The previous prime is 345280134139. The next prime is 345280134169. The reversal of 345280134144 is 441431082543.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×345280134144² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51461862 + ... + 51468570.

It is an arithmetic number, because the mean of its divisors is an integer number (5708919240).

Almost surely, 2^345280134144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345280134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502384893120).

345280134144 is an abundant number, since it is smaller than the sum of its proper divisors (659489652096).

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

345280134144 is a wasteful number, since it uses less digits than its factorization.

345280134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8266 (or 8248 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 345280134144 in words is "three hundred forty-five billion, two hundred eighty million, one hundred thirty-four thousand, one hundred forty-four".