137745168 has 80 divisors (see below), whose sum is σ = 397284096. Its totient is φ = 40763520.

The previous prime is 137745161. The next prime is 137745197. The reversal of 137745168 is 861547731.

It is not an unprimeable number, because it can be changed into a prime (137745161) 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 15 ways as a sum of consecutive naturals, for example, 19671 + ... + 25737.

Almost surely, 2^137745168 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 137745168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198642048).

137745168 is an abundant number, since it is smaller than the sum of its proper divisors (259538928).

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

137745168 is a wasteful number, since it uses less digits than its factorization.

137745168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6132 (or 6126 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 137745168 is about 11736.4887423795. The cubic root of 137745168 is about 516.4466417060.

The spelling of 137745168 in words is "one hundred thirty-seven million, seven hundred forty-five thousand, one hundred sixty-eight".