135698910997104 has 1920 divisors, whose sum is σ = 521201640960000. Its totient is φ = 31941206212608.

The previous prime is 135698910997079. The next prime is 135698910997141. The reversal of 135698910997104 is 401799019896531.

135698910997104 is a `hidden beast` number, since 1 + 356 + 9 + 89 + 1 + 0 + 9 + 97 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 228834588232 + ... + 228834588824.

It is an arithmetic number, because the mean of its divisors is an integer number (271459188000).

Almost surely, 2^{135698910997104} is an apocalyptic number.

135698910997104 is a gapful number since it is divisible by the number (14) 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 135698910997104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260600820480000).

135698910997104 is an abundant number, since it is smaller than the sum of its proper divisors (385502729962896).

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

135698910997104 is a wasteful number, since it uses less digits than its factorization.

135698910997104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 72.

The spelling of 135698910997104 in words is "one hundred thirty-five trillion, six hundred ninety-eight billion, nine hundred ten million, nine hundred ninety-seven thousand, one hundred four".