137824080 has 80 divisors (see below), whose sum is σ = 428436864. Its totient is φ = 36651520.

The previous prime is 137824067. The next prime is 137824087. The reversal of 137824080 is 80428731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137824087) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 133165 + ... + 134195.

Almost surely, 2^137824080 is an apocalyptic number.

137824080 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 137824080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214218432).

137824080 is an abundant number, since it is smaller than the sum of its proper divisors (290612784).

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

137824080 is a wasteful number, since it uses less digits than its factorization.

137824080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 137824080 is about 11739.8500842217. The cubic root of 137824080 is about 516.5452442149.

The spelling of 137824080 in words is "one hundred thirty-seven million, eight hundred twenty-four thousand, eighty".