136906242120 has 320 divisors, whose sum is σ = 489002469120. Its totient is φ = 34235467776.

The previous prime is 136906242113. The next prime is 136906242131. The reversal of 136906242120 is 21242609631.

It is a happy number.

136906242120 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 0 + 624 + 2 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15583249 + ... + 15592031.

It is an arithmetic number, because the mean of its divisors is an integer number (1528132716).

Almost surely, 2^136906242120 is an apocalyptic number.

136906242120 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 136906242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244501234560).

136906242120 is an abundant number, since it is smaller than the sum of its proper divisors (352096227000).

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

136906242120 is a wasteful number, since it uses less digits than its factorization.

136906242120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9106 (or 9093 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 136906242120 in words is "one hundred thirty-six billion, nine hundred six million, two hundred forty-two thousand, one hundred twenty".