137500693695 has 16 divisors (see below), whose sum is σ = 244445677920. Its totient is φ = 73333703232.

The previous prime is 137500693643. The next prime is 137500693741. The reversal of 137500693695 is 596396005731.

137500693695 is a `hidden beast` number, since 13 + 7 + 500 + 6 + 9 + 36 + 95 = 666.

It is not a de Polignac number, because 137500693695 - 2¹⁴ = 137500677311 is a prime.

It is a super-3 number, since 3×137500693695³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 509261694 + ... + 509261963.

It is an arithmetic number, because the mean of its divisors is an integer number (15277854870).

Almost surely, 2^137500693695 is an apocalyptic number.

137500693695 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137500693695 is a deficient number, since it is larger than the sum of its proper divisors (106944984225).

137500693695 is a wasteful number, since it uses less digits than its factorization.

137500693695 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018523671 (or 1018523665 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 54.

The spelling of 137500693695 in words is "one hundred thirty-seven billion, five hundred million, six hundred ninety-three thousand, six hundred ninety-five".