137640006 has 32 divisors (see below), whose sum is σ = 349562880. Its totient is φ = 39325608.

The previous prime is 137639987. The next prime is 137640029. The reversal of 137640006 is 600046731.

137640006 is a `hidden beast` number, since 13 + 7 + 640 + 0 + 0 + 6 = 666.

137640006 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 (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181686 + ... + 182441.

It is an arithmetic number, because the mean of its divisors is an integer number (10923840).

Almost surely, 2^137640006 is an apocalyptic number.

137640006 is an abundant number, since it is smaller than the sum of its proper divisors (211922874).

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

137640006 is a wasteful number, since it uses less digits than its factorization.

137640006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364145 (or 364139 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 137640006 is about 11732.0077565607. The cubic root of 137640006 is about 516.3151806184.

Adding to 137640006 its reverse (600046731), we get a palindrome (737686737).

The spelling of 137640006 in words is "one hundred thirty-seven million, six hundred forty thousand, six".