134937715077984 has 768 divisors, whose sum is σ = 446113872691200. Its totient is φ = 34766656856064.

The previous prime is 134937715077899. The next prime is 134937715078003. The reversal of 134937715077984 is 489770517739431.

134937715077984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116025549787 + ... + 116025550949.

It is an arithmetic number, because the mean of its divisors is an integer number (580877438400).

Almost surely, 2^{134937715077984} is an apocalyptic number.

134937715077984 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 134937715077984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223056936345600).

134937715077984 is an abundant number, since it is smaller than the sum of its proper divisors (311176157613216).

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

134937715077984 is a wasteful number, since it uses less digits than its factorization.

134937715077984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 1120210560, while the sum is 75.

The spelling of 134937715077984 in words is "one hundred thirty-four trillion, nine hundred thirty-seven billion, seven hundred fifteen million, seventy-seven thousand, nine hundred eighty-four".