137105056729 has 27 divisors (see below), whose sum is σ = 152413103647. Its totient is φ = 123299278784.

The previous prime is 137105056703. The next prime is 137105056769. The reversal of 137105056729 is 927650501731.

It is a happy number.

The square root of 137105056729 is 370277.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 106742691225 + 30362365504 = 326715^2 + 174248^2 .

It is not a de Polignac number, because 137105056729 - 2¹³ = 137105048537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137105056769) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 144777834 + ... + 144778780.

Almost surely, 2^137105056729 is an apocalyptic number.

137105056729 is the 370277-th square number.

137105056729 is the 185139-th centered octagonal number.

It is an amenable number.

137105056729 is a deficient number, since it is larger than the sum of its proper divisors (15308046918).

137105056729 is an frugal number, since it uses more digits than its factorization.

137105056729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 46.

The spelling of 137105056729 in words is "one hundred thirty-seven billion, one hundred five million, fifty-six thousand, seven hundred twenty-nine".