136001859840 has 1440 divisors, whose sum is σ = 618326352000. Its totient is φ = 28070461440.

The previous prime is 136001859823. The next prime is 136001859841. The reversal of 136001859840 is 48958100631.

136001859840 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 0 + 18 + 598 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (136001859841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 912764086 + ... + 912764234.

It is an arithmetic number, because the mean of its divisors is an integer number (429393300).

Almost surely, 2^136001859840 is an apocalyptic number.

136001859840 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 136001859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309163176000).

136001859840 is an abundant number, since it is smaller than the sum of its proper divisors (482324492160).

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

136001859840 is an equidigital number, since it uses as much as digits as its factorization.

136001859840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 136001859840 in words is "one hundred thirty-six billion, one million, eight hundred fifty-nine thousand, eight hundred forty".