313545520134 has 192 divisors, whose sum is σ = 898710336000. Its totient is φ = 80104852800.

The previous prime is 313545520133. The next prime is 313545520147. The reversal of 313545520134 is 431025545313.

313545520134 is a `hidden beast` number, since 31 + 3 + 545 + 52 + 0 + 1 + 34 = 666.

It is a super-2 number, since 2×313545520134² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313545520133) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1687167 + ... + 1863765.

It is an arithmetic number, because the mean of its divisors is an integer number (4680783000).

Almost surely, 2^313545520134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313545520134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449355168000).

313545520134 is an abundant number, since it is smaller than the sum of its proper divisors (585164815866).

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

313545520134 is a wasteful number, since it uses less digits than its factorization.

313545520134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176696 (or 176683 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 313545520134 in words is "three hundred thirteen billion, five hundred forty-five million, five hundred twenty thousand, one hundred thirty-four".