137855401721856 has 1725 divisors, whose sum is σ = 520282738367601. Its totient is φ = 36357468585984.

The previous prime is 137855401721813. The next prime is 137855401721867. The reversal of 137855401721856 is 658127104558731.

The square root of 137855401721856 is 11741184.

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

137855401721856 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 5 + 5 + 401 + 7 + 218 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20392810905600 + 117462590816256 = 4515840^2 + 10838016^2 .

It is a super-2 number, since 2×137855401721856² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 137855401721793 and 137855401721802.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 10604261670906 + ... + 10604261670918.

Almost surely, 2^{137855401721856} is an apocalyptic number.

137855401721856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

137855401721856 is the 11741184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137855401721856

137855401721856 is an abundant number, since it is smaller than the sum of its proper divisors (382427336645745).

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

137855401721856 is an frugal number, since it uses more digits than its factorization.

137855401721856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

The spelling of 137855401721856 in words is "one hundred thirty-seven trillion, eight hundred fifty-five billion, four hundred one million, seven hundred twenty-one thousand, eight hundred fifty-six".