137486480 has 80 divisors (see below), whose sum is σ = 346477824. Its totient is φ = 50534400.

The previous prime is 137486471. The next prime is 137486501. The reversal of 137486480 is 84684731.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57305 + ... + 59655.

Almost surely, 2^137486480 is an apocalyptic number.

137486480 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 137486480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173238912).

137486480 is an abundant number, since it is smaller than the sum of its proper divisors (208991344).

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

137486480 is a wasteful number, since it uses less digits than its factorization.

137486480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 137486480 is about 11725.4628906496. The cubic root of 137486480 is about 516.1231402923.

The spelling of 137486480 in words is "one hundred thirty-seven million, four hundred eighty-six thousand, four hundred eighty".