137197800 has 168 divisors, whose sum is σ = 478766790. Its totient is φ = 36547200.

The previous prime is 137197789. The next prime is 137197807. The reversal of 137197800 is 8791731.

It can be written as a sum of positive squares in 3 ways, for example, as 108618084 + 28579716 = 10422^2 + 5346^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (137197807) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 145330 + ... + 146270.

Almost surely, 2^137197800 is an apocalyptic number.

137197800 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 137197800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239383395).

137197800 is an abundant number, since it is smaller than the sum of its proper divisors (341568990).

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

137197800 is an equidigital number, since it uses as much as digits as its factorization.

137197800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 137197800 is about 11713.1464602813. The cubic root of 137197800 is about 515.7616530367.

It can be divided in two parts, 1 and 37197800, that added together give a square (37197801 = 6099²).

The spelling of 137197800 in words is "one hundred thirty-seven million, one hundred ninety-seven thousand, eight hundred".