135886540800 has 624 divisors, whose sum is σ = 488828395520. Its totient is φ = 33177600000.

The previous prime is 135886540747. The next prime is 135886540873. The reversal of 135886540800 is 8045688531.

It is a super-3 number, since 3×135886540800³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 135886540800.

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, 180940425 + ... + 180941175.

Almost surely, 2^135886540800 is an apocalyptic number.

135886540800 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 135886540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244414197760).

135886540800 is an abundant number, since it is smaller than the sum of its proper divisors (352941854720).

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

135886540800 is a wasteful number, since it uses less digits than its factorization.

135886540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 135886540800 in words is "one hundred thirty-five billion, eight hundred eighty-six million, five hundred forty thousand, eight hundred".