137741300 has 36 divisors (see below), whose sum is σ = 309211980. Its totient is φ = 53195520.

The previous prime is 137741299. The next prime is 137741309. The reversal of 137741300 is 3147731.

137741300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2298256 + 135443044 = 1516^2 + 11638^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 137741300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137741309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20849 + ... + 26648.

Almost surely, 2^137741300 is an apocalyptic number.

137741300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137741300 is an abundant number, since it is smaller than the sum of its proper divisors (171470680).

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

137741300 is a wasteful number, since it uses less digits than its factorization.

137741300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47540 (or 47533 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 137741300 is about 11736.3239559924. The cubic root of 137741300 is about 516.4418075756.

The spelling of 137741300 in words is "one hundred thirty-seven million, seven hundred forty-one thousand, three hundred".