137781340 has 24 divisors (see below), whose sum is σ = 297162432. Its totient is φ = 53622720.

The previous prime is 137781337. The next prime is 137781359. The reversal of 137781340 is 43187731.

It is a junction number, because it is equal to n+sod(n) for n = 137781296 and 137781305.

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 7 ways as a sum of consecutive naturals, for example, 92356 + ... + 93835.

It is an arithmetic number, because the mean of its divisors is an integer number (12381768).

Almost surely, 2^137781340 is an apocalyptic number.

137781340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137781340 is an abundant number, since it is smaller than the sum of its proper divisors (159381092).

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

137781340 is a wasteful number, since it uses less digits than its factorization.

137781340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186237 (or 186235 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 137781340 is about 11738.0296472619. The cubic root of 137781340 is about 516.4918441941.

The spelling of 137781340 in words is "one hundred thirty-seven million, seven hundred eighty-one thousand, three hundred forty".