137213754705 has 32 divisors (see below), whose sum is σ = 245091707520. Its totient is φ = 72833826240.

The previous prime is 137213754679. The next prime is 137213754751. The reversal of 137213754705 is 507457312731.

137213754705 is a `hidden beast` number, since 1 + 3 + 72 + 1 + 37 + 547 + 0 + 5 = 666.

It is not a de Polignac number, because 137213754705 - 2⁶ = 137213754641 is a prime.

It is a super-2 number, since 2×137213754705² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2380042 + ... + 2437011.

It is an arithmetic number, because the mean of its divisors is an integer number (7659115860).

Almost surely, 2^137213754705 is an apocalyptic number.

137213754705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137213754705 is a deficient number, since it is larger than the sum of its proper divisors (107877952815).

137213754705 is a wasteful number, since it uses less digits than its factorization.

137213754705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817278 (or 4817272 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 137213754705 in words is "one hundred thirty-seven billion, two hundred thirteen million, seven hundred fifty-four thousand, seven hundred five".