137741364 has 48 divisors (see below), whose sum is σ = 362019840. Its totient is φ = 45282240.

The previous prime is 137741363. The next prime is 137741407. The reversal of 137741364 is 463147731.

137741364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137741363) 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 15 ways as a sum of consecutive naturals, for example, 852 + ... + 16619.

It is an arithmetic number, because the mean of its divisors is an integer number (7542080).

Almost surely, 2^137741364 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 137741364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181009920).

137741364 is an abundant number, since it is smaller than the sum of its proper divisors (224278476).

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

137741364 is a wasteful number, since it uses less digits than its factorization.

137741364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17557 (or 17549 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 137741364 is about 11736.3266825698. The cubic root of 137741364 is about 516.4418875620.

The spelling of 137741364 in words is "one hundred thirty-seven million, seven hundred forty-one thousand, three hundred sixty-four".