137464840009728 has 576 divisors, whose sum is σ = 516512033856000. Its totient is φ = 34152747171840.

The previous prime is 137464840009691. The next prime is 137464840009741. The reversal of 137464840009728 is 827900048464731.

137464840009728 is a `hidden beast` number, since 1 + 3 + 7 + 46 + 484 + 0 + 0 + 0 + 97 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30537498 + ... + 34748646.

It is an arithmetic number, because the mean of its divisors is an integer number (896722281000).

Almost surely, 2^{137464840009728} is an apocalyptic number.

137464840009728 is a gapful number since it is divisible by the number (18) 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 137464840009728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258256016928000).

137464840009728 is an abundant number, since it is smaller than the sum of its proper divisors (379047193846272).

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

137464840009728 is a wasteful number, since it uses less digits than its factorization.

137464840009728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211218 (or 4211195 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 137464840009728 in words is "one hundred thirty-seven trillion, four hundred sixty-four billion, eight hundred forty million, nine thousand, seven hundred twenty-eight".