137540760 has 128 divisors (see below), whose sum is σ = 478241280. Its totient is φ = 30993408.

The previous prime is 137540743. The next prime is 137540779. The reversal of 137540760 is 67045731.

It is a super-2 number, since 2×137540760² = 37834921322755200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 60199 + ... + 62441.

It is an arithmetic number, because the mean of its divisors is an integer number (3736260).

Almost surely, 2^137540760 is an apocalyptic number.

137540760 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 137540760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239120640).

137540760 is an abundant number, since it is smaller than the sum of its proper divisors (340700520).

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

137540760 is a wasteful number, since it uses less digits than its factorization.

137540760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 137540760 is about 11727.7772830149. Note that the first 3 decimals coincide. The cubic root of 137540760 is about 516.1910535835.

The spelling of 137540760 in words is "one hundred thirty-seven million, five hundred forty thousand, seven hundred sixty".