134782788965760 has 2560 divisors, whose sum is σ = 545465562808320. Its totient is φ = 31498309140480.

The previous prime is 134782788965687. The next prime is 134782788965789. The reversal of 134782788965760 is 67569887287431.

134782788965760 is a `hidden beast` number, since 1 + 3 + 478 + 2 + 7 + 8 + 8 + 96 + 57 + 6 + 0 = 666.

It is a super-2 number, since 2×134782788965760² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 134782788965760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 195054687015 + ... + 195054687705.

It is an arithmetic number, because the mean of its divisors is an integer number (213072485472).

It is a 1-persistent number, because it is pandigital, but 2⋅134782788965760 = 269565577931520 is not.

Almost surely, 2^{134782788965760} is an apocalyptic number.

134782788965760 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 134782788965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272732781404160).

134782788965760 is an abundant number, since it is smaller than the sum of its proper divisors (410682773842560).

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

134782788965760 is a wasteful number, since it uses less digits than its factorization.

134782788965760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 6827950080, while the sum is 81.

The spelling of 134782788965760 in words is "one hundred thirty-four trillion, seven hundred eighty-two billion, seven hundred eighty-eight million, nine hundred sixty-five thousand, seven hundred sixty".