137806398 has 24 divisors (see below), whose sum is σ = 298808328. Its totient is φ = 45900432.

The previous prime is 137806393. The next prime is 137806423. The reversal of 137806398 is 893608731.

It is a happy number.

137806398 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 0 + 639 + 8 = 666.

137806398 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137806393) 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 11 ways as a sum of consecutive naturals, for example, 33840 + ... + 37692.

It is an arithmetic number, because the mean of its divisors is an integer number (12450347).

Almost surely, 2^137806398 is an apocalyptic number.

137806398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

137806398 is an abundant number, since it is smaller than the sum of its proper divisors (161001930).

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

137806398 is a wasteful number, since it uses less digits than its factorization.

137806398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848 (or 5845 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 137806398 is about 11739.0969840103. The cubic root of 137806398 is about 516.5231533881.

The spelling of 137806398 in words is "one hundred thirty-seven million, eight hundred six thousand, three hundred ninety-eight".