137969664 has 120 divisors (see below), whose sum is σ = 421514688. Its totient is φ = 39321600.

The previous prime is 137969639. The next prime is 137969687. The reversal of 137969664 is 466969731.

It is a congruent number.

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, 343864 + ... + 344264.

Almost surely, 2^137969664 is an apocalyptic number.

137969664 is a gapful number since it is divisible by the number (14) 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 137969664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210757344).

137969664 is an abundant number, since it is smaller than the sum of its proper divisors (283545024).

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

137969664 is an frugal number, since it uses more digits than its factorization.

137969664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 413 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 51.

The square root of 137969664 is about 11746.0488675980. The cubic root of 137969664 is about 516.7270563242.

The spelling of 137969664 in words is "one hundred thirty-seven million, nine hundred sixty-nine thousand, six hundred sixty-four".