137989180 has 96 divisors (see below), whose sum is σ = 344365056. Its totient is φ = 45467136.

The previous prime is 137989123. The next prime is 137989223. The reversal of 137989180 is 81989731.

137989180 = T₁ + T₂ + ... + T₉₃₈.

137989180 is a nontrivial binomial coefficient, being equal to C(940, 3).

It is a self number, because there is not a number n which added to its sum of digits gives 137989180.

It is a congruent number.

It is an unprimeable number.

It is the 938-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440704 + ... + 441016.

It is an arithmetic number, because the mean of its divisors is an integer number (3587136).

Almost surely, 2^137989180 is an apocalyptic number.

137989180 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 137989180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172182528).

137989180 is an abundant number, since it is smaller than the sum of its proper divisors (206375876).

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

137989180 is a wasteful number, since it uses less digits than its factorization.

137989180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 46.

The square root of 137989180 is about 11746.8795856602. The cubic root of 137989180 is about 516.7514190947.

The spelling of 137989180 in words is "one hundred thirty-seven million, nine hundred eighty-nine thousand, one hundred eighty".