137983608 has 96 divisors (see below), whose sum is σ = 445899600. Its totient is φ = 39420864.

The previous prime is 137983607. The next prime is 137983609. The reversal of 137983608 is 806389731.

It is a happy number.

137983608 is a `hidden beast` number, since 1 + 37 + 9 + 8 + 3 + 608 = 666.

137983608 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137983607) and next prime (137983609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137983607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4066 + ... + 17102.

Almost surely, 2^137983608 is an apocalyptic number.

137983608 is a gapful number since it is divisible by the number (18) 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 137983608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222949800).

137983608 is an abundant number, since it is smaller than the sum of its proper divisors (307915992).

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

137983608 is a wasteful number, since it uses less digits than its factorization.

137983608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13066 (or 13049 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 137983608 is about 11746.6424138985. The cubic root of 137983608 is about 516.7444635309.

The spelling of 137983608 in words is "one hundred thirty-seven million, nine hundred eighty-three thousand, six hundred eight".