135434698290000 has 1200 divisors, whose sum is σ = 494883562567680. Its totient is φ = 34522629120000.

The previous prime is 135434698289981. The next prime is 135434698290011. The reversal of 135434698290000 is 92896434531.

135434698290000 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 346 + 9 + 8 + 290 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 131108129484 + ... + 131108130516.

Almost surely, 2^{135434698290000} is an apocalyptic number.

135434698290000 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 135434698290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247441781283840).

135434698290000 is an abundant number, since it is smaller than the sum of its proper divisors (359448864277680).

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

135434698290000 is a wasteful number, since it uses less digits than its factorization.

135434698290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 135434698290000 in words is "one hundred thirty-five trillion, four hundred thirty-four billion, six hundred ninety-eight million, two hundred ninety thousand".