137827216 has 20 divisors (see below), whose sum is σ = 281095600. Its totient is φ = 65286432.

The previous prime is 137827187. The next prime is 137827219. The reversal of 137827216 is 612728731.

It is not an unprimeable number, because it can be changed into a prime (137827219) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 226386 + ... + 226993.

It is an arithmetic number, because the mean of its divisors is an integer number (14054780).

Almost surely, 2^137827216 is an apocalyptic number.

137827216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137827216 is an abundant number, since it is smaller than the sum of its proper divisors (143268384).

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

137827216 is a wasteful number, since it uses less digits than its factorization.

137827216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453406 (or 453400 counting only the distinct ones).

The product of its digits is 28224, while the sum is 37.

The square root of 137827216 is about 11739.9836456445. The cubic root of 137827216 is about 516.5491619473.

The spelling of 137827216 in words is "one hundred thirty-seven million, eight hundred twenty-seven thousand, two hundred sixteen".