137197720 has 64 divisors (see below), whose sum is σ = 341107200. Its totient is φ = 49246080.

The previous prime is 137197703. The next prime is 137197721. The reversal of 137197720 is 27791731.

137197720 = T₄₉₈₉ + T₄₉₉₀ + ... + T₄₉₉₉.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 137197720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137197721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32787 + ... + 36733.

It is an arithmetic number, because the mean of its divisors is an integer number (5329800).

Almost surely, 2^137197720 is an apocalyptic number.

137197720 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 137197720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170553600).

137197720 is an abundant number, since it is smaller than the sum of its proper divisors (203909480).

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

137197720 is a wasteful number, since it uses less digits than its factorization.

137197720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 37.

The square root of 137197720 is about 11713.1430453145. The cubic root of 137197720 is about 515.7615527898.

The spelling of 137197720 in words is "one hundred thirty-seven million, one hundred ninety-seven thousand, seven hundred twenty".