137682006 has 32 divisors (see below), whose sum is σ = 343312128. Its totient is φ = 35761440.

The previous prime is 137681959. The next prime is 137682007. The reversal of 137682006 is 600286731.

137682006 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137682007) by changing a digit.

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, 148545 + ... + 149468.

It is an arithmetic number, because the mean of its divisors is an integer number (10728504).

Almost surely, 2^137682006 is an apocalyptic number.

137682006 is an abundant number, since it is smaller than the sum of its proper divisors (205630122).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137682006 is a wasteful number, since it uses less digits than its factorization.

137682006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298036.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 137682006 is about 11733.7975949818. The cubic root of 137682006 is about 516.3676920766.

The spelling of 137682006 in words is "one hundred thirty-seven million, six hundred eighty-two thousand, six".