137882760 has 64 divisors (see below), whose sum is σ = 415082880. Its totient is φ = 36641280.

The previous prime is 137882749. The next prime is 137882777. The reversal of 137882760 is 67288731.

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, 35725 + ... + 39395.

It is an arithmetic number, because the mean of its divisors is an integer number (6485670).

Almost surely, 2^137882760 is an apocalyptic number.

137882760 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 137882760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207541440).

137882760 is an abundant number, since it is smaller than the sum of its proper divisors (277200120).

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

137882760 is a wasteful number, since it uses less digits than its factorization.

137882760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 137882760 is about 11742.3489983904. The cubic root of 137882760 is about 516.6185419391.

The spelling of 137882760 in words is "one hundred thirty-seven million, eight hundred eighty-two thousand, seven hundred sixty".