137745516 has 48 divisors (see below), whose sum is σ = 344736000. Its totient is φ = 42674112.

The previous prime is 137745409. The next prime is 137745521. The reversal of 137745516 is 615547731.

137745516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6385 + ... + 17783.

It is an arithmetic number, because the mean of its divisors is an integer number (7182000).

Almost surely, 2^137745516 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 137745516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368000).

137745516 is an abundant number, since it is smaller than the sum of its proper divisors (206990484).

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

137745516 is a wasteful number, since it uses less digits than its factorization.

137745516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11478 (or 11476 counting only the distinct ones).

The product of its digits is 88200, while the sum is 39.

The square root of 137745516 is about 11736.5035679286. The cubic root of 137745516 is about 516.4470766233.

The spelling of 137745516 in words is "one hundred thirty-seven million, seven hundred forty-five thousand, five hundred sixteen".