137958746046 has 96 divisors (see below), whose sum is σ = 327872791680. Its totient is φ = 38534823360.

The previous prime is 137958746017. The next prime is 137958746047. The reversal of 137958746046 is 640647859731.

137958746046 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×137958746046² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137958746047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375225 + ... + 645531.

It is an arithmetic number, because the mean of its divisors is an integer number (3415341580).

Almost surely, 2^137958746046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137958746046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163936395840).

137958746046 is an abundant number, since it is smaller than the sum of its proper divisors (189914045634).

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

137958746046 is a wasteful number, since it uses less digits than its factorization.

137958746046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270390 (or 270379 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 137958746046 in words is "one hundred thirty-seven billion, nine hundred fifty-eight million, seven hundred forty-six thousand, forty-six".