137712617856 has 384 divisors, whose sum is σ = 454714041600. Its totient is φ = 41136076800.

The previous prime is 137712617851. The next prime is 137712617909. The reversal of 137712617856 is 658716217731.

137712617856 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 12 + 617 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137712617851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24289390 + ... + 24295058.

It is an arithmetic number, because the mean of its divisors is an integer number (1184151150).

Almost surely, 2^137712617856 is an apocalyptic number.

137712617856 is a gapful number since it is divisible by the number (16) 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 137712617856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227357020800).

137712617856 is an abundant number, since it is smaller than the sum of its proper divisors (317001423744).

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

137712617856 is an equidigital number, since it uses as much as digits as its factorization.

137712617856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5780 (or 5756 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 54.

The spelling of 137712617856 in words is "one hundred thirty-seven billion, seven hundred twelve million, six hundred seventeen thousand, eight hundred fifty-six".