135700035680 has 192 divisors, whose sum is σ = 374134324032. Its totient is φ = 45963018240.

The previous prime is 135700035677. The next prime is 135700035701. The reversal of 135700035680 is 86530007531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2878862 + ... + 2925618.

It is an arithmetic number, because the mean of its divisors is an integer number (1948616271).

Almost surely, 2^135700035680 is an apocalyptic number.

135700035680 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 135700035680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187067162016).

135700035680 is an abundant number, since it is smaller than the sum of its proper divisors (238434288352).

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

135700035680 is a wasteful number, since it uses less digits than its factorization.

135700035680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46897 (or 46889 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The spelling of 135700035680 in words is "one hundred thirty-five billion, seven hundred million, thirty-five thousand, six hundred eighty".