137490898680 has 384 divisors, whose sum is σ = 492547461120. Its totient is φ = 33146910720.

The previous prime is 137490898679. The next prime is 137490898681. The reversal of 137490898680 is 86898094731.

137490898680 is a `hidden beast` number, since 1 + 3 + 7 + 490 + 89 + 8 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (137490898679) and next prime (137490898681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137490898681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11031012 + ... + 11043468.

It is an arithmetic number, because the mean of its divisors is an integer number (1282675680).

Almost surely, 2^137490898680 is an apocalyptic number.

137490898680 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 137490898680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246273730560).

137490898680 is an abundant number, since it is smaller than the sum of its proper divisors (355056562440).

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

137490898680 is a wasteful number, since it uses less digits than its factorization.

137490898680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12571 (or 12564 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 137490898680 in words is "one hundred thirty-seven billion, four hundred ninety million, eight hundred ninety-eight thousand, six hundred eighty".