137769768 has 96 divisors (see below), whose sum is σ = 406713600. Its totient is φ = 43202304.

The previous prime is 137769763. The next prime is 137769773. The reversal of 137769768 is 867967731.

It is an interprime number because it is at equal distance from previous prime (137769763) and next prime (137769773).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137769763) 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, 61321 + ... + 63527.

It is an arithmetic number, because the mean of its divisors is an integer number (4236600).

Almost surely, 2^137769768 is an apocalyptic number.

137769768 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 137769768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203356800).

137769768 is an abundant number, since it is smaller than the sum of its proper divisors (268943832).

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

137769768 is a wasteful number, since it uses less digits than its factorization.

137769768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2229 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 137769768 is about 11737.5367092078. The cubic root of 137769768 is about 516.4773840576.

The spelling of 137769768 in words is "one hundred thirty-seven million, seven hundred sixty-nine thousand, seven hundred sixty-eight".