137990000 has 50 divisors (see below), whose sum is σ = 334111800. Its totient is φ = 55192000.

The previous prime is 137989931. The next prime is 137990059. The reversal of 137990000 is 99731.

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 3101 + ... + 16899.

It is an arithmetic number, because the mean of its divisors is an integer number (6682236).

Almost surely, 2^137990000 is an apocalyptic number.

137990000 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 137990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167055900).

137990000 is an abundant number, since it is smaller than the sum of its proper divisors (196121800).

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

137990000 is an equidigital number, since it uses as much as digits as its factorization.

137990000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13827 (or 13806 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 29.

The square root of 137990000 is about 11746.9144884944. The cubic root of 137990000 is about 516.7524426903.

The spelling of 137990000 in words is "one hundred thirty-seven million, nine hundred ninety thousand".