134557378536960 has 400 divisors, whose sum is σ = 482308378279200. Its totient is φ = 35854690811904.

The previous prime is 134557378536913. The next prime is 134557378537009. The reversal of 134557378536960 is 69635873755431.

134557378536960 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 57 + 37 + 8 + 536 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 273261856 + ... + 273753824.

It is an arithmetic number, because the mean of its divisors is an integer number (1205770945698).

Almost surely, 2^{134557378536960} is an apocalyptic number.

134557378536960 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 134557378536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241154189139600).

134557378536960 is an abundant number, since it is smaller than the sum of its proper divisors (347750999742240).

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

134557378536960 is an equidigital number, since it uses as much as digits as its factorization.

134557378536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493323 (or 493298 counting only the distinct ones).

The product of its (nonzero) digits is 1714608000, while the sum is 72.

The spelling of 134557378536960 in words is "one hundred thirty-four trillion, five hundred fifty-seven billion, three hundred seventy-eight million, five hundred thirty-six thousand, nine hundred sixty".