137427487680 has 448 divisors, whose sum is σ = 521806675968. Its totient is φ = 29962014720.

The previous prime is 137427487679. The next prime is 137427487699. The reversal of 137427487680 is 86784724731.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 137427487680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66614329 + ... + 66616391.

Almost surely, 2^137427487680 is an apocalyptic number.

137427487680 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 137427487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260903337984).

137427487680 is an abundant number, since it is smaller than the sum of its proper divisors (384379188288).

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

137427487680 is a wasteful number, since it uses less digits than its factorization.

137427487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 57.

The spelling of 137427487680 in words is "one hundred thirty-seven billion, four hundred twenty-seven million, four hundred eighty-seven thousand, six hundred eighty".