137149488455056 has 405 divisors, whose sum is σ = 347579338854657. Its totient is φ = 52233308413440.

The previous prime is 137149488455041. The next prime is 137149488455137. The reversal of 137149488455056 is 650554884941731.

The square root of 137149488455056 is 11711084.

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

It can be written as a sum of positive squares in only one way, i.e., 120720409696656 + 16429078758400 = 10987284^2 + 4053280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 169529651580 + ... + 169529652388.

Almost surely, 2^{137149488455056} is an apocalyptic number.

137149488455056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

137149488455056 is the 11711084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137149488455056

137149488455056 is an abundant number, since it is smaller than the sum of its proper divisors (210429850399601).

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

137149488455056 is an frugal number, since it uses more digits than its factorization.

137149488455056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 580608000, while the sum is 70.

The spelling of 137149488455056 in words is "one hundred thirty-seven trillion, one hundred forty-nine billion, four hundred eighty-eight million, four hundred fifty-five thousand, fifty-six".