135720138650700 has 144 divisors (see below), whose sum is σ = 397238165130240. Its totient is φ = 35774006983680.

The previous prime is 135720138650693. The next prime is 135720138650731. The reversal of 135720138650700 is 7056831027531.

It is a super-2 number, since 2×135720138650700² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135720138650700.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6986881 + ... + 17895719.

It is an arithmetic number, because the mean of its divisors is an integer number (2758598368960).

Almost surely, 2^{135720138650700} is an apocalyptic number.

135720138650700 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 135720138650700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198619082565120).

135720138650700 is an abundant number, since it is smaller than the sum of its proper divisors (261518026479540).

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

135720138650700 is a wasteful number, since it uses less digits than its factorization.

135720138650700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10909336 (or 10909329 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 135720138650700 in words is "one hundred thirty-five trillion, seven hundred twenty billion, one hundred thirty-eight million, six hundred fifty thousand, seven hundred".