137728500 has 192 divisors, whose sum is σ = 494108160. Its totient is φ = 29030400.

The previous prime is 137728499. The next prime is 137728519. The reversal of 137728500 is 5827731.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 135996 + ... + 137004.

It is an arithmetic number, because the mean of its divisors is an integer number (2573480).

Almost surely, 2^137728500 is an apocalyptic number.

137728500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137728500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247054080).

137728500 is an abundant number, since it is smaller than the sum of its proper divisors (356379660).

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

137728500 is a wasteful number, since it uses less digits than its factorization.

137728500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 137728500 is about 11735.7786277690. The cubic root of 137728500 is about 516.4258098080.

The spelling of 137728500 in words is "one hundred thirty-seven million, seven hundred twenty-eight thousand, five hundred".