134979980002560 has 5184 divisors, whose sum is σ = 667787691916800. Its totient is φ = 24750147502080.

The previous prime is 134979980002541. The next prime is 134979980002607. The reversal of 134979980002560 is 65200089979431.

134979980002560 is a `hidden beast` number, since 1 + 3 + 497 + 9 + 9 + 80 + 0 + 0 + 2 + 5 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 128674908916 + ... + 128674909964.

It is an arithmetic number, because the mean of its divisors is an integer number (128817070200).

It is a 1-persistent number, because it is pandigital, but 2⋅134979980002560 = 269959960005120 is not.

Almost surely, 2^{134979980002560} is an apocalyptic number.

134979980002560 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 134979980002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333893845958400).

134979980002560 is an abundant number, since it is smaller than the sum of its proper divisors (532807711914240).

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

134979980002560 is a wasteful number, since it uses less digits than its factorization.

134979980002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 134979980002560 in words is "one hundred thirty-four trillion, nine hundred seventy-nine billion, nine hundred eighty million, two thousand, five hundred sixty".