136591314071040 has 240 divisors, whose sum is σ = 473160867873408. Its totient is φ = 36416132333568.

The previous prime is 136591314071029. The next prime is 136591314071041. The reversal of 136591314071040 is 40170413195631.

136591314071040 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 9 + 131 + 407 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136591314071041) 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, 101792314 + ... + 103125446.

Almost surely, 2^{136591314071040} is an apocalyptic number.

136591314071040 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 136591314071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236580433936704).

136591314071040 is an abundant number, since it is smaller than the sum of its proper divisors (336569553802368).

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

136591314071040 is a wasteful number, since it uses less digits than its factorization.

136591314071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337609 (or 1337590 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 136591314071040 in words is "one hundred thirty-six trillion, five hundred ninety-one billion, three hundred fourteen million, seventy-one thousand, forty".