137438208 has 110 divisors (see below), whose sum is σ = 410665046. Its totient is φ = 45785088.

The previous prime is 137438207. The next prime is 137438269. The reversal of 137438208 is 802834731.

137438208 is a `hidden beast` number, since 13 + 7 + 438 + 208 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107495424 + 29942784 = 10368^2 + 5472^2 .

It is a super-2 number, since 2×137438208² = 37778522036502528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (137438201) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82116 + ... + 83772.

Almost surely, 2^137438208 is an apocalyptic number.

137438208 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 137438208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205332523).

137438208 is an abundant number, since it is smaller than the sum of its proper divisors (273226838).

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

137438208 is an equidigital number, since it uses as much as digits as its factorization.

137438208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 137438208 is about 11723.4042837394. The cubic root of 137438208 is about 516.0627289883.

The spelling of 137438208 in words is "one hundred thirty-seven million, four hundred thirty-eight thousand, two hundred eight".