137892006 has 96 divisors (see below), whose sum is σ = 362419200. Its totient is φ = 37013760.

The previous prime is 137891983. The next prime is 137892017. The reversal of 137892006 is 600298731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 572046 + ... + 572286.

It is an arithmetic number, because the mean of its divisors is an integer number (3775200).

Almost surely, 2^137892006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137892006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181209600).

137892006 is an abundant number, since it is smaller than the sum of its proper divisors (224527194).

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

137892006 is a wasteful number, since it uses less digits than its factorization.

137892006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 137892006 is about 11742.7426949584. The cubic root of 137892006 is about 516.6300893056.

The spelling of 137892006 in words is "one hundred thirty-seven million, eight hundred ninety-two thousand, six".