137225676 has 144 divisors (see below), whose sum is σ = 399893760. Its totient is φ = 36408960.

The previous prime is 137225653. The next prime is 137225677. The reversal of 137225676 is 676522731.

137225676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (137225677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 793126 + ... + 793298.

It is an arithmetic number, because the mean of its divisors is an integer number (2777040).

Almost surely, 2^137225676 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 137225676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199946880).

137225676 is an abundant number, since it is smaller than the sum of its proper divisors (262668084).

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

137225676 is a wasteful number, since it uses less digits than its factorization.

137225676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 275 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 137225676 is about 11714.3363448383. The cubic root of 137225676 is about 515.7965816779.

The spelling of 137225676 in words is "one hundred thirty-seven million, two hundred twenty-five thousand, six hundred seventy-six".