134659768421376 has 528 divisors, whose sum is σ = 449713211875200. Its totient is φ = 38380113100800.

The previous prime is 134659768421371. The next prime is 134659768421419. The reversal of 134659768421376 is 673124867956431.

134659768421376 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 597 + 6 + 8 + 4 + 21 + 3 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×134659768421376² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (134659768421371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267482536 + ... + 267985496.

Almost surely, 2^{134659768421376} is an apocalyptic number.

134659768421376 is a gapful number since it is divisible by the number (16) 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 134659768421376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224856605937600).

134659768421376 is an abundant number, since it is smaller than the sum of its proper divisors (315053443453824).

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

134659768421376 is a wasteful number, since it uses less digits than its factorization.

134659768421376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503156 (or 503135 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 134659768421376 in words is "one hundred thirty-four trillion, six hundred fifty-nine billion, seven hundred sixty-eight million, four hundred twenty-one thousand, three hundred seventy-six".