136948619431680 has 1728 divisors, whose sum is σ = 555910528868352. Its totient is φ = 28534080798720.

The previous prime is 136948619431649. The next prime is 136948619431739. The reversal of 136948619431680 is 86134916849631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14582959785 + ... + 14582969175.

It is an arithmetic number, because the mean of its divisors is an integer number (321707481984).

Almost surely, 2^{136948619431680} is an apocalyptic number.

136948619431680 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 136948619431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277955264434176).

136948619431680 is an abundant number, since it is smaller than the sum of its proper divisors (418961909436672).

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

136948619431680 is a wasteful number, since it uses less digits than its factorization.

136948619431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9590 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 69.

The spelling of 136948619431680 in words is "one hundred thirty-six trillion, nine hundred forty-eight billion, six hundred nineteen million, four hundred thirty-one thousand, six hundred eighty".