137689318890 has 24 divisors (see below), whose sum is σ = 357992229348. Its totient is φ = 36717151680.

The previous prime is 137689318859. The next prime is 137689318903. The reversal of 137689318890 is 98813986731.

137689318890 is a `hidden beast` number, since 1 + 376 + 89 + 3 + 188 + 9 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 128907567369 + 8781751521 = 359037^2 + 93711^2 .

It is a super-2 number, since 2×137689318890² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 764940571 + ... + 764940750.

Almost surely, 2^137689318890 is an apocalyptic number.

137689318890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137689318890 is an abundant number, since it is smaller than the sum of its proper divisors (220302910458).

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

137689318890 is a wasteful number, since it uses less digits than its factorization.

137689318890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529881334 (or 1529881331 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 137689318890 in words is "one hundred thirty-seven billion, six hundred eighty-nine million, three hundred eighteen thousand, eight hundred ninety".