68137344 has 192 divisors, whose sum is σ = 225950400. Its totient is φ = 19491840.

The previous prime is 68137331. The next prime is 68137369. The reversal of 68137344 is 44373186.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 68137299 and 68137308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240627 + ... + 240909.

It is an arithmetic number, because the mean of its divisors is an integer number (1176825).

Almost surely, 2^68137344 is an apocalyptic number.

68137344 is a gapful number since it is divisible by the number (64) 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 68137344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112975200).

68137344 is an abundant number, since it is smaller than the sum of its proper divisors (157813056).

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

68137344 is a wasteful number, since it uses less digits than its factorization.

68137344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 318 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 68137344 is about 8254.5347536975. The cubic root of 68137344 is about 408.4401248195.

It can be divided in two parts, 681 and 37344, that added together give a square (38025 = 195²).

The spelling of 68137344 in words is "sixty-eight million, one hundred thirty-seven thousand, three hundred forty-four".