137565648 has 80 divisors (see below), whose sum is σ = 430776000. Its totient is φ = 41685120.

The previous prime is 137565629. The next prime is 137565697. The reversal of 137565648 is 846565731.

137565648 is a `hidden beast` number, since 1 + 37 + 56 + 564 + 8 = 666.

It is a super-3 number, since 3×137565648³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 9723 + ... + 19226.

It is an arithmetic number, because the mean of its divisors is an integer number (5384700).

Almost surely, 2^137565648 is an apocalyptic number.

137565648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137565648 is an abundant number, since it is smaller than the sum of its proper divisors (293210352).

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

137565648 is a wasteful number, since it uses less digits than its factorization.

137565648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28977 (or 28965 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 137565648 is about 11728.8383056465. The cubic root of 137565648 is about 516.2221866287. Note that the first 3 decimals are identical.

The spelling of 137565648 in words is "one hundred thirty-seven million, five hundred sixty-five thousand, six hundred forty-eight".