137001385 has 8 divisors (see below), whose sum is σ = 174072456. Its totient is φ = 103153920.

The previous prime is 137001367. The next prime is 137001407. The reversal of 137001385 is 583100731.

It can be written as a sum of positive squares in 4 ways, for example, as 68757264 + 68244121 = 8292^2 + 8261^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 137001385 - 2⁷ = 137001257 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 805806 + ... + 805975.

It is an arithmetic number, because the mean of its divisors is an integer number (21759057).

Almost surely, 2^137001385 is an apocalyptic number.

It is an amenable number.

137001385 is a deficient number, since it is larger than the sum of its proper divisors (37071071).

137001385 is a wasteful number, since it uses less digits than its factorization.

137001385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611803.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 137001385 is about 11704.7590748379. The cubic root of 137001385 is about 515.5154107350.

The spelling of 137001385 in words is "one hundred thirty-seven million, one thousand, three hundred eighty-five".