137820000 has 120 divisors (see below), whose sum is σ = 452273976. Its totient is φ = 36736000.

The previous prime is 137819999. The next prime is 137820041. The reversal of 137820000 is 28731.

137820000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58852 + ... + 61148.

Almost surely, 2^137820000 is an apocalyptic number.

137820000 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 137820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226136988).

137820000 is an abundant number, since it is smaller than the sum of its proper divisors (314453976).

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

137820000 is an equidigital number, since it uses as much as digits as its factorization.

137820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 137820000 is about 11739.6763158104. The cubic root of 137820000 is about 516.5401470761.

Adding to 137820000 its reverse (28731), we get a palindrome (137848731).

The spelling of 137820000 in words is "one hundred thirty-seven million, eight hundred twenty thousand".