137254676894720 has 1408 divisors, whose sum is σ = 438130326896640. Its totient is φ = 39967754158080.

The previous prime is 137254676894717. The next prime is 137254676894807. The reversal of 137254676894720 is 27498676452731.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 212140149437 + ... + 212140150083.

It is a 1-persistent number, because it is pandigital, but 2⋅137254676894720 = 274509353789440 is not.

Almost surely, 2^{137254676894720} is an apocalyptic number.

137254676894720 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 137254676894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219065163448320).

137254676894720 is an abundant number, since it is smaller than the sum of its proper divisors (300875650001920).

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

137254676894720 is a wasteful number, since it uses less digits than its factorization.

137254676894720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 71.

The spelling of 137254676894720 in words is "one hundred thirty-seven trillion, two hundred fifty-four billion, six hundred seventy-six million, eight hundred ninety-four thousand, seven hundred twenty".