137725967358 has 128 divisors (see below), whose sum is σ = 351917015040. Its totient is φ = 39110688000.

The previous prime is 137725967287. The next prime is 137725967369. The reversal of 137725967358 is 853769527731.

137725967358 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 2 + 596 + 7 + 35 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 137725967295 and 137725967304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45891858 + ... + 45894858.

It is an arithmetic number, because the mean of its divisors is an integer number (2749351680).

Almost surely, 2^137725967358 is an apocalyptic number.

137725967358 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137725967358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175958507520).

137725967358 is an abundant number, since it is smaller than the sum of its proper divisors (214191047682).

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

137725967358 is a wasteful number, since it uses less digits than its factorization.

137725967358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719 (or 3713 counting only the distinct ones).

The product of its digits is 66679200, while the sum is 63.

The spelling of 137725967358 in words is "one hundred thirty-seven billion, seven hundred twenty-five million, nine hundred sixty-seven thousand, three hundred fifty-eight".