137798000 has 40 divisors (see below), whose sum is σ = 333200400. Its totient is φ = 55118400.

The previous prime is 137797999. The next prime is 137798021. The reversal of 137798000 is 897731.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32450 + ... + 36449.

It is an arithmetic number, because the mean of its divisors is an integer number (8330010).

Almost surely, 2^137798000 is an apocalyptic number.

137798000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137798000 is an abundant number, since it is smaller than the sum of its proper divisors (195402400).

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

137798000 is an equidigital number, since it uses as much as digits as its factorization.

137798000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68922 (or 68906 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 137798000 is about 11738.7392849488. The cubic root of 137798000 is about 516.5126607704.

The spelling of 137798000 in words is "one hundred thirty-seven million, seven hundred ninety-eight thousand".