136794577920 has 2112 divisors, whose sum is σ = 632284434432. Its totient is φ = 24772608000.

The previous prime is 136794577873. The next prime is 136794577921. The reversal of 136794577920 is 29775497631.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136794577921) 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 191 ways as a sum of consecutive naturals, for example, 3336453100 + ... + 3336453140.

Almost surely, 2^136794577920 is an apocalyptic number.

136794577920 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 136794577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316142217216).

136794577920 is an abundant number, since it is smaller than the sum of its proper divisors (495489856512).

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

136794577920 is a wasteful number, since it uses less digits than its factorization.

136794577920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 60.

The spelling of 136794577920 in words is "one hundred thirty-six billion, seven hundred ninety-four million, five hundred seventy-seven thousand, nine hundred twenty".