137405743321 has 16 divisors (see below), whose sum is σ = 171526078080. Its totient is φ = 106935022080.

The previous prime is 137405743303. The next prime is 137405743327. The reversal of 137405743321 is 123347504731.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 137405743321 - 2⁹ = 137405742809 is a prime.

It is a super-2 number, since 2×137405743321² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137405743327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1058136 + ... + 1180873.

It is an arithmetic number, because the mean of its divisors is an integer number (10720379880).

Almost surely, 2^137405743321 is an apocalyptic number.

137405743321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137405743321 is a deficient number, since it is larger than the sum of its proper divisors (34120334759).

137405743321 is a wasteful number, since it uses less digits than its factorization.

137405743321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239824.

The product of its (nonzero) digits is 211680, while the sum is 40.

The spelling of 137405743321 in words is "one hundred thirty-seven billion, four hundred five million, seven hundred forty-three thousand, three hundred twenty-one".