137540045731 has 8 divisors (see below), whose sum is σ = 151529268528. Its totient is φ = 123798420000.

The previous prime is 137540045693. The next prime is 137540045743.

137540045731 is nontrivially palindromic in base 10.

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 137540045731 - 2¹³ = 137540037539 is a prime.

It is a super-2 number, since 2×137540045731² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137540045131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61898100 + ... + 61900321.

It is an arithmetic number, because the mean of its divisors is an integer number (18941158566).

Almost surely, 2^137540045731 is an apocalyptic number.

137540045731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137540045731 is a deficient number, since it is larger than the sum of its proper divisors (13989222797).

137540045731 is a wasteful number, since it uses less digits than its factorization.

137540045731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123798533.

The product of its (nonzero) digits is 176400, while the sum is 40.

The spelling of 137540045731 in words is "one hundred thirty-seven billion, five hundred forty million, forty-five thousand, seven hundred thirty-one".