137418490000 has 225 divisors, whose sum is σ = 366787716141. Its totient is φ = 49822080000.

The previous prime is 137418489937. The next prime is 137418490043. The reversal of 137418490000 is 94814731.

The square root of 137418490000 is 370700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 128184048784 + 9234441216 = 358028^2 + 96096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 407769832 + ... + 407770168.

Almost surely, 2^137418490000 is an apocalyptic number.

137418490000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137418490000 is the 370700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137418490000

137418490000 is an abundant number, since it is smaller than the sum of its proper divisors (229369226141).

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

137418490000 is an frugal number, since it uses more digits than its factorization.

137418490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 137418490000 in words is "one hundred thirty-seven billion, four hundred eighteen million, four hundred ninety thousand".