135920565152064 has 2240 divisors, whose sum is σ = 534803465011200. Its totient is φ = 33798352896000.

The previous prime is 135920565152027. The next prime is 135920565152069. The reversal of 135920565152064 is 460251565029531.

135920565152064 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 2 + 0 + 5 + 6 + 51 + 520 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 135920565152064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135920565152069) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 58814609469 + ... + 58814611779.

It is an arithmetic number, because the mean of its divisors is an integer number (238751546880).

Almost surely, 2^{135920565152064} is an apocalyptic number.

135920565152064 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 135920565152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267401732505600).

135920565152064 is an abundant number, since it is smaller than the sum of its proper divisors (398882899859136).

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

135920565152064 is a wasteful number, since it uses less digits than its factorization.

135920565152064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 135920565152064 in words is "one hundred thirty-five trillion, nine hundred twenty billion, five hundred sixty-five million, one hundred fifty-two thousand, sixty-four".