137145285 has 16 divisors (see below), whose sum is σ = 243814080. Its totient is φ = 73144080.

The previous prime is 137145259. The next prime is 137145311. The reversal of 137145285 is 582541731.

137145285 is a `hidden beast` number, since 1 + 371 + 4 + 5 + 285 = 666.

It is an interprime number because it is at equal distance from previous prime (137145259) and next prime (137145311).

It is not a de Polignac number, because 137145285 - 2⁹ = 137144773 is a prime.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 507811 + ... + 508080.

It is an arithmetic number, because the mean of its divisors is an integer number (15238380).

Almost surely, 2^137145285 is an apocalyptic number.

137145285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137145285 is a deficient number, since it is larger than the sum of its proper divisors (106668795).

137145285 is a wasteful number, since it uses less digits than its factorization.

137145285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015905 (or 1015899 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 137145285 is about 11710.9045338095. The cubic root of 137145285 is about 515.6958388624.

It can be divided in two parts, 1371 and 45285, that added together give a 6-th power (46656 = 6⁶).

The spelling of 137145285 in words is "one hundred thirty-seven million, one hundred forty-five thousand, two hundred eighty-five".