136313141461650 has 240 divisors, whose sum is σ = 391862690109000. Its totient is φ = 35091897200640.

The previous prime is 136313141461639. The next prime is 136313141461681. The reversal of 136313141461650 is 56164141313631.

136313141461650 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 1 + 3 + 14 + 14 + 616 + 5 + 0 = 666.

136313141461650 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1763140475889 + 134550000985761 = 1327833^2 + 11599569^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 136313141461596 and 136313141461605.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 898299184 + ... + 898450916.

Almost surely, 2^{136313141461650} is an apocalyptic number.

136313141461650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136313141461650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195931345054500).

136313141461650 is an abundant number, since it is smaller than the sum of its proper divisors (255549548647350).

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

136313141461650 is a wasteful number, since it uses less digits than its factorization.

136313141461650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159435 (or 159421 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 136313141461650 in words is "one hundred thirty-six trillion, three hundred thirteen billion, one hundred forty-one million, four hundred sixty-one thousand, six hundred fifty".