137564536351 has 8 divisors (see below), whose sum is σ = 152184071808. Its totient is φ = 123297279000.

The previous prime is 137564536339. The next prime is 137564536427. The reversal of 137564536351 is 153635465731.

137564536351 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137564536351 - 2²⁵ = 137530981919 is a prime.

It is a super-2 number, since 2×137564536351² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137564536295 and 137564536304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137564536321) 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 7 ways as a sum of consecutive naturals, for example, 88068705 + ... + 88070266.

It is an arithmetic number, because the mean of its divisors is an integer number (19023008976).

Almost surely, 2^137564536351 is an apocalyptic number.

137564536351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137564536351 is a deficient number, since it is larger than the sum of its proper divisors (14619535457).

137564536351 is a wasteful number, since it uses less digits than its factorization.

137564536351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176139053.

The product of its digits is 3402000, while the sum is 49.

The spelling of 137564536351 in words is "one hundred thirty-seven billion, five hundred sixty-four million, five hundred thirty-six thousand, three hundred fifty-one".