137000500 has 96 divisors (see below), whose sum is σ = 368379648. Its totient is φ = 43344000.

The previous prime is 137000497. The next prime is 137000509. The reversal of 137000500 is 5000731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137000509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43995 + ... + 47005.

It is an arithmetic number, because the mean of its divisors is an integer number (3837288).

Almost surely, 2^137000500 is an apocalyptic number.

137000500 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 137000500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184189824).

137000500 is an abundant number, since it is smaller than the sum of its proper divisors (231379148).

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

137000500 is a wasteful number, since it uses less digits than its factorization.

137000500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 137000500 is about 11704.7212696416. The cubic root of 137000500 is about 515.5143006924.

The spelling of 137000500 in words is "one hundred thirty-seven million, five hundred", and thus it is an aban number.