136698008076000 has 768 divisors, whose sum is σ = 598593445632000. Its totient is φ = 29600768563200.

The previous prime is 136698008075999. The next prime is 136698008076001. The reversal of 136698008076000 is 670800896631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (136698008075999) and next prime (136698008076001).

It is a super-2 number, since 2×136698008076000² (a number of 29 digits) contains 22 as substring.

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 (136698008076001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9605646 + ... + 19122354.

It is an arithmetic number, because the mean of its divisors is an integer number (779418549000).

Almost surely, 2^{136698008076000} is an apocalyptic number.

136698008076000 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 136698008076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299296722816000).

136698008076000 is an abundant number, since it is smaller than the sum of its proper divisors (461895437556000).

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

136698008076000 is a wasteful number, since it uses less digits than its factorization.

136698008076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516769 (or 9516745 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 136698008076000 in words is "one hundred thirty-six trillion, six hundred ninety-eight billion, eight million, seventy-six thousand".