137657212 has 48 divisors (see below), whose sum is σ = 303222528. Its totient is φ = 53118720.

The previous prime is 137657183. The next prime is 137657237. The reversal of 137657212 is 212756731.

It is a super-2 number, since 2×137657212² = 37899016031225888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30868 + ... + 35044.

It is an arithmetic number, because the mean of its divisors is an integer number (6317136).

Almost surely, 2^137657212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137657212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151611264).

137657212 is an abundant number, since it is smaller than the sum of its proper divisors (165565316).

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

137657212 is a wasteful number, since it uses less digits than its factorization.

137657212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4306 (or 4304 counting only the distinct ones).

The product of its digits is 17640, while the sum is 34.

The square root of 137657212 is about 11732.7410267166. The cubic root of 137657212 is about 516.3366941040.

The spelling of 137657212 in words is "one hundred thirty-seven million, six hundred fifty-seven thousand, two hundred twelve".