136686821040 has 720 divisors, whose sum is σ = 596149272576. Its totient is φ = 27738547200.

The previous prime is 136686820999. The next prime is 136686821057. The reversal of 136686821040 is 40128686631.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16683345 + ... + 16691535.

Almost surely, 2^136686821040 is an apocalyptic number.

136686821040 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 136686821040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298074636288).

136686821040 is an abundant number, since it is smaller than the sum of its proper divisors (459462451536).

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

136686821040 is a wasteful number, since it uses less digits than its factorization.

136686821040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8278 (or 8262 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 136686821040 in words is "one hundred thirty-six billion, six hundred eighty-six million, eight hundred twenty-one thousand, forty".