136071290880 has 1344 divisors, whose sum is σ = 588089410560. Its totient is φ = 30098718720.

The previous prime is 136071290827. The next prime is 136071290881. The reversal of 136071290880 is 88092170631.

136071290880 is a `hidden beast` number, since 13 + 607 + 1 + 29 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is not an unprimeable number, because it can be changed into a prime (136071290881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4389396465 + ... + 4389396495.

Almost surely, 2^136071290880 is an apocalyptic number.

136071290880 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 136071290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294044705280).

136071290880 is an abundant number, since it is smaller than the sum of its proper divisors (452018119680).

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

136071290880 is an frugal number, since it uses more digits than its factorization.

136071290880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 136071290880 in words is "one hundred thirty-six billion, seventy-one million, two hundred ninety thousand, eight hundred eighty".