137725743507 has 16 divisors (see below), whose sum is σ = 200335714560. Its totient is φ = 83467080800.

The previous prime is 137725743461. The next prime is 137725743527. The reversal of 137725743507 is 705347527731.

It is a cyclic number.

It is not a de Polignac number, because 137725743507 - 2¹⁴ = 137725727123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137725743507.

It is not an unprimeable number, because it can be changed into a prime (137725743527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1108594 + ... + 1226552.

It is an arithmetic number, because the mean of its divisors is an integer number (12520982160).

Almost surely, 2^137725743507 is an apocalyptic number.

137725743507 is a deficient number, since it is larger than the sum of its proper divisors (62609971053).

137725743507 is a wasteful number, since it uses less digits than its factorization.

137725743507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153354.

The product of its (nonzero) digits is 4321800, while the sum is 51.

The spelling of 137725743507 in words is "one hundred thirty-seven billion, seven hundred twenty-five million, seven hundred forty-three thousand, five hundred seven".