137978768 has 40 divisors (see below), whose sum is σ = 277958400. Its totient is φ = 66280320.

The previous prime is 137978761. The next prime is 137978777. The reversal of 137978768 is 867879731.

137978768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (137978761) 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 7 ways as a sum of consecutive naturals, for example, 72971 + ... + 74837.

It is an arithmetic number, because the mean of its divisors is an integer number (6948960).

Almost surely, 2^137978768 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 137978768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138979200).

137978768 is an abundant number, since it is smaller than the sum of its proper divisors (139979632).

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

137978768 is a wasteful number, since it uses less digits than its factorization.

137978768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2049 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 56.

The square root of 137978768 is about 11746.4363957755. The cubic root of 137978768 is about 516.7384215754.

The spelling of 137978768 in words is "one hundred thirty-seven million, nine hundred seventy-eight thousand, seven hundred sixty-eight".