137506880 has 224 divisors, whose sum is σ = 416088576. Its totient is φ = 42172416.

The previous prime is 137506867. The next prime is 137506883. The reversal of 137506880 is 88605731.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (137506883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 875762 + ... + 875918.

Almost surely, 2^137506880 is an apocalyptic number.

137506880 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 137506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208044288).

137506880 is an abundant number, since it is smaller than the sum of its proper divisors (278581696).

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

137506880 is a wasteful number, since it uses less digits than its factorization.

137506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 137506880 is about 11726.3327600747. The cubic root of 137506880 is about 516.1486661751.

The spelling of 137506880 in words is "one hundred thirty-seven million, five hundred six thousand, eight hundred eighty".