135892789760 has 480 divisors, whose sum is σ = 411442416000. Its totient is φ = 42664624128.

The previous prime is 135892789751. The next prime is 135892789771. The reversal of 135892789760 is 67987298531.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272329991 + ... + 272330489.

It is an arithmetic number, because the mean of its divisors is an integer number (857171700).

Almost surely, 2^135892789760 is an apocalyptic number.

135892789760 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 135892789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205721208000).

135892789760 is an abundant number, since it is smaller than the sum of its proper divisors (275549626240).

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

135892789760 is a wasteful number, since it uses less digits than its factorization.

135892789760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 65.

The spelling of 135892789760 in words is "one hundred thirty-five billion, eight hundred ninety-two million, seven hundred eighty-nine thousand, seven hundred sixty".