136146375936 has 216 divisors, whose sum is σ = 407634462144. Its totient is φ = 45320601600.

The previous prime is 136146375931. The next prime is 136146376061. The reversal of 136146375936 is 639573641631.

136146375936 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 46 + 3 + 7 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136146375931) 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 23 ways as a sum of consecutive naturals, for example, 85037536 + ... + 85039136.

It is an arithmetic number, because the mean of its divisors is an integer number (1887196584).

Almost surely, 2^136146375936 is an apocalyptic number.

136146375936 is a gapful number since it is divisible by the number (16) 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 136146375936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203817231072).

136146375936 is an abundant number, since it is smaller than the sum of its proper divisors (271488086208).

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

136146375936 is an equidigital number, since it uses as much as digits as its factorization.

136146375936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2973 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The spelling of 136146375936 in words is "one hundred thirty-six billion, one hundred forty-six million, three hundred seventy-five thousand, nine hundred thirty-six".