137120984 has 64 divisors (see below), whose sum is σ = 345219840. Its totient is φ = 49311360.

The previous prime is 137120959. The next prime is 137120989. The reversal of 137120984 is 489021731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137120989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554 + ... + 16569.

It is an arithmetic number, because the mean of its divisors is an integer number (5394060).

Almost surely, 2^137120984 is an apocalyptic number.

137120984 is a gapful number since it is divisible by the number (14) 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 137120984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172609920).

137120984 is an abundant number, since it is smaller than the sum of its proper divisors (208098856).

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

137120984 is a wasteful number, since it uses less digits than its factorization.

137120984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17160 (or 17156 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 137120984 is about 11709.8669505678. The cubic root of 137120984 is about 515.6653780635.

It can be divided in two parts, 137 and 120984, that added together give a palindrome (121121).

The spelling of 137120984 in words is "one hundred thirty-seven million, one hundred twenty thousand, nine hundred eighty-four".