137710540 has 48 divisors (see below), whose sum is σ = 334049184. Its totient is φ = 47129600.

The previous prime is 137710519. The next prime is 137710567. The reversal of 137710540 is 45017731.

It is a junction number, because it is equal to n+sod(n) for n = 137710499 and 137710508.

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 15 ways as a sum of consecutive naturals, for example, 14671 + ... + 22150.

It is an arithmetic number, because the mean of its divisors is an integer number (6959358).

Almost surely, 2^137710540 is an apocalyptic number.

137710540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137710540 is an abundant number, since it is smaller than the sum of its proper divisors (196338644).

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

137710540 is a wasteful number, since it uses less digits than its factorization.

137710540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36858 (or 36856 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 137710540 is about 11735.0134213813. The cubic root of 137710540 is about 516.4033612692.

The spelling of 137710540 in words is "one hundred thirty-seven million, seven hundred ten thousand, five hundred forty".