137780992 has 36 divisors (see below), whose sum is σ = 281753136. Its totient is φ = 67205120.

The previous prime is 137780947. The next prime is 137781029. The reversal of 137780992 is 299087731.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3933 + ... + 17059.

It is an arithmetic number, because the mean of its divisors is an integer number (7826476).

Almost surely, 2^137780992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137780992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140876568).

137780992 is an abundant number, since it is smaller than the sum of its proper divisors (143972144).

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

137780992 is an equidigital number, since it uses as much as digits as its factorization.

137780992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13184 (or 13170 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The square root of 137780992 is about 11738.0148236403. The cubic root of 137780992 is about 516.4914093522.

It can be divided in two parts, 1377 and 80992, that added together give a square (82369 = 287²).

The spelling of 137780992 in words is "one hundred thirty-seven million, seven hundred eighty thousand, nine hundred ninety-two".