137200000 has 192 divisors, whose sum is σ = 398412000. Its totient is φ = 47040000.

The previous prime is 137199989. The next prime is 137200009. The reversal of 137200000 is 2731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137200009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19599997 + ... + 19600003.

Almost surely, 2^137200000 is an apocalyptic number.

137200000 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 137200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199206000).

137200000 is an abundant number, since it is smaller than the sum of its proper divisors (261212000).

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

137200000 is an frugal number, since it uses more digits than its factorization.

137200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 137200000 is about 11713.2403714771. The cubic root of 137200000 is about 515.7644098097.

Adding to 137200000 its reverse (2731), we get a palindrome (137202731).

The spelling of 137200000 in words is "one hundred thirty-seven million, two hundred thousand".