137098368 has 192 divisors, whose sum is σ = 445536000. Its totient is φ = 40089600.

The previous prime is 137098363. The next prime is 137098369. The reversal of 137098368 is 863890731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (137098363) 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 23 ways as a sum of consecutive naturals, for example, 392658 + ... + 393006.

It is an arithmetic number, because the mean of its divisors is an integer number (2320500).

Almost surely, 2^137098368 is an apocalyptic number.

137098368 is a gapful number since it is divisible by the number (18) 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 137098368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222768000).

137098368 is an abundant number, since it is smaller than the sum of its proper divisors (308437632).

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

137098368 is a wasteful number, since it uses less digits than its factorization.

137098368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 396 counting only the distinct ones).

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

The square root of 137098368 is about 11708.9012294066. The cubic root of 137098368 is about 515.6370261437.

The spelling of 137098368 in words is "one hundred thirty-seven million, ninety-eight thousand, three hundred sixty-eight".