135811380777408 has 896 divisors, whose sum is σ = 497705725440000. Its totient is φ = 36210732687360.

The previous prime is 135811380777407. The next prime is 135811380777533. The reversal of 135811380777408 is 804777083118531.

135811380777408 is a `hidden beast` number, since 1 + 3 + 5 + 81 + 1 + 3 + 80 + 7 + 77 + 408 = 666.

It is a super-2 number, since 2×135811380777408² (a number of 29 digits) contains 22 as substring.

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 (135811380777407) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 558798378 + ... + 559041366.

It is an arithmetic number, because the mean of its divisors is an integer number (555475140000).

Almost surely, 2^{135811380777408} is an apocalyptic number.

135811380777408 is a gapful number since it is divisible by the number (18) 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 135811380777408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248852862720000).

135811380777408 is an abundant number, since it is smaller than the sum of its proper divisors (361894344662592).

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

135811380777408 is a wasteful number, since it uses less digits than its factorization.

135811380777408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243095 (or 243065 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 135811380777408 in words is "one hundred thirty-five trillion, eight hundred eleven billion, three hundred eighty million, seven hundred seventy-seven thousand, four hundred eight".