137842800 has 240 divisors, whose sum is σ = 485727840. Its totient is φ = 33259520.

The previous prime is 137842787. The next prime is 137842801. The reversal of 137842800 is 8248731.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137842801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 591484 + ... + 591716.

It is an arithmetic number, because the mean of its divisors is an integer number (2023866).

Almost surely, 2^137842800 is an apocalyptic number.

137842800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137842800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242863920).

137842800 is an abundant number, since it is smaller than the sum of its proper divisors (347885040).

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

137842800 is a wasteful number, since it uses less digits than its factorization.

137842800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 137842800 is about 11740.6473416077. The cubic root of 137842800 is about 516.5686297975.

The spelling of 137842800 in words is "one hundred thirty-seven million, eight hundred forty-two thousand, eight hundred".