135886875264 has 768 divisors, whose sum is σ = 484743168000. Its totient is φ = 37858544640.

The previous prime is 135886875263. The next prime is 135886875269. The reversal of 135886875264 is 462578688531.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135886875263) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 501427449 + ... + 501427719.

It is an arithmetic number, because the mean of its divisors is an integer number (631176000).

Almost surely, 2^135886875264 is an apocalyptic number.

135886875264 is a gapful number since it is divisible by the number (14) 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 135886875264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242371584000).

135886875264 is an abundant number, since it is smaller than the sum of its proper divisors (348856292736).

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

135886875264 is an frugal number, since it uses more digits than its factorization.

135886875264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 330 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 135886875264 in words is "one hundred thirty-five billion, eight hundred eighty-six million, eight hundred seventy-five thousand, two hundred sixty-four".