137871568 has 40 divisors (see below), whose sum is σ = 288374400. Its totient is φ = 63659904.

The previous prime is 137871557. The next prime is 137871571. The reversal of 137871568 is 865178731.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 4213 + ... + 17131.

It is an arithmetic number, because the mean of its divisors is an integer number (7209360).

Almost surely, 2^137871568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137871568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144187200).

137871568 is an abundant number, since it is smaller than the sum of its proper divisors (150502832).

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

137871568 is a wasteful number, since it uses less digits than its factorization.

137871568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12979 (or 12973 counting only the distinct ones).

The product of its digits is 282240, while the sum is 46.

The square root of 137871568 is about 11741.8724230848. The cubic root of 137871568 is about 516.6045635148.

The spelling of 137871568 in words is "one hundred thirty-seven million, eight hundred seventy-one thousand, five hundred sixty-eight".