135100707840 has 704 divisors, whose sum is σ = 552984768000. Its totient is φ = 30640177152.

The previous prime is 135100707839. The next prime is 135100707851. The reversal of 135100707840 is 48707001531.

135100707840 is a `hidden beast` number, since 1 + 3 + 510 + 0 + 70 + 78 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135100707795 and 135100707804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144183852 + ... + 144184788.

Almost surely, 2^135100707840 is an apocalyptic number.

135100707840 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 135100707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276492384000).

135100707840 is an abundant number, since it is smaller than the sum of its proper divisors (417884060160).

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

135100707840 is a wasteful number, since it uses less digits than its factorization.

135100707840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 135100707840 in words is "one hundred thirty-five billion, one hundred million, seven hundred seven thousand, eight hundred forty".