136142007120 has 400 divisors, whose sum is σ = 572181020928. Its totient is φ = 29287526400.

The previous prime is 136142007109. The next prime is 136142007121. The reversal of 136142007120 is 21700241631.

136142007120 is a `hidden beast` number, since 1 + 3 + 614 + 20 + 0 + 7 + 1 + 20 = 666.

It is a super-2 number, since 2×136142007120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136142007121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 682845 + ... + 859395.

Almost surely, 2^136142007120 is an apocalyptic number.

136142007120 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 136142007120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286090510464).

136142007120 is an abundant number, since it is smaller than the sum of its proper divisors (436039013808).

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

136142007120 is a wasteful number, since it uses less digits than its factorization.

136142007120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176600 (or 176585 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 136142007120 its reverse (21700241631), we get a palindrome (157842248751).

The spelling of 136142007120 in words is "one hundred thirty-six billion, one hundred forty-two million, seven thousand, one hundred twenty".