137438202 has 64 divisors (see below), whose sum is σ = 321490944. Its totient is φ = 38744640.

The previous prime is 137438201. The next prime is 137438207. The reversal of 137438202 is 202834731.

137438202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 137438202.

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

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54943 + ... + 57389.

It is an arithmetic number, because the mean of its divisors is an integer number (5023296).

Almost surely, 2^137438202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137438202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160745472).

137438202 is an abundant number, since it is smaller than the sum of its proper divisors (184052742).

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

137438202 is a wasteful number, since it uses less digits than its factorization.

137438202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 137438202 is about 11723.4040278411. The cubic root of 137438202 is about 516.0627214785.

It can be divided in two parts, 13743 and 8202, that added together give a triangular number (21945 = T₂₀₉).

The spelling of 137438202 in words is "one hundred thirty-seven million, four hundred thirty-eight thousand, two hundred two".