137539703125 has 28 divisors (see below), whose sum is σ = 187551974304. Its totient is φ = 100028750000.

The previous prime is 137539703089. The next prime is 137539703153. The reversal of 137539703125 is 521307935731.

It is a happy number.

It is not a de Polignac number, because 137539703125 - 2¹⁵ = 137539670357 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 228241 + ... + 571990.

Almost surely, 2^137539703125 is an apocalyptic number.

It is an amenable number.

137539703125 is a deficient number, since it is larger than the sum of its proper divisors (50012271179).

137539703125 is an frugal number, since it uses more digits than its factorization.

137539703125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800272 (or 800247 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 46.

The spelling of 137539703125 in words is "one hundred thirty-seven billion, five hundred thirty-nine million, seven hundred three thousand, one hundred twenty-five".