137775168 has 98 divisors (see below), whose sum is σ = 410047694. Its totient is φ = 45909504.

The previous prime is 137775119. The next prime is 137775181. The reversal of 137775168 is 861577731.

It can be written as a sum of positive squares in only one way, i.e., 131056704 + 6718464 = 11448^2 + 2592^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 45180 + ... + 48132.

Almost surely, 2^137775168 is an apocalyptic number.

137775168 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 137775168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205023847).

137775168 is an abundant number, since it is smaller than the sum of its proper divisors (272272526).

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

137775168 is an frugal number, since it uses more digits than its factorization.

137775168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2958 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The square root of 137775168 is about 11737.7667381832. The cubic root of 137775168 is about 516.4841318888.

The spelling of 137775168 in words is "one hundred thirty-seven million, seven hundred seventy-five thousand, one hundred sixty-eight".