137105664 has 72 divisors (see below), whose sum is σ = 367429440. Its totient is φ = 45385728.

The previous prime is 137105659. The next prime is 137105687. The reversal of 137105664 is 466501731.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127722 + ... + 128790.

Almost surely, 2^137105664 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 137105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183714720).

137105664 is an abundant number, since it is smaller than the sum of its proper divisors (230323776).

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

137105664 is a wasteful number, since it uses less digits than its factorization.

137105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 137105664 is about 11709.2127831037. The cubic root of 137105664 is about 515.6461729120.

The spelling of 137105664 in words is "one hundred thirty-seven million, one hundred five thousand, six hundred sixty-four".