136419084648 has 288 divisors, whose sum is σ = 469364220000. Its totient is φ = 35395557120.

The previous prime is 136419084601. The next prime is 136419084653. The reversal of 136419084648 is 846480914631.

136419084648 is a `hidden beast` number, since 136 + 41 + 9 + 0 + 8 + 464 + 8 = 666.

It is a super-2 number, since 2×136419084648² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136419084594 and 136419084603.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65933758 + ... + 65935826.

It is an arithmetic number, because the mean of its divisors is an integer number (1629736875).

Almost surely, 2^136419084648 is an apocalyptic number.

136419084648 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 136419084648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234682110000).

136419084648 is an abundant number, since it is smaller than the sum of its proper divisors (332945135352).

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

136419084648 is a wasteful number, since it uses less digits than its factorization.

136419084648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 136419084648 in words is "one hundred thirty-six billion, four hundred nineteen million, eighty-four thousand, six hundred forty-eight".