137086954368 has 128 divisors (see below), whose sum is σ = 448169003520. Its totient is φ = 36154791936.

The previous prime is 137086954363. The next prime is 137086954423. The reversal of 137086954368 is 863459680731.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×137086954368² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137086954363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1926580 + ... + 1996467.

It is an arithmetic number, because the mean of its divisors is an integer number (3501320340).

Almost surely, 2^137086954368 is an apocalyptic number.

It is an amenable number.

137086954368 is an abundant number, since it is smaller than the sum of its proper divisors (311082049152).

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

137086954368 is a wasteful number, since it uses less digits than its factorization.

137086954368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923084 (or 3923072 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 137086954368 in words is "one hundred thirty-seven billion, eighty-six million, nine hundred fifty-four thousand, three hundred sixty-eight".