134992546569216 has 1408 divisors, whose sum is σ = 492624142080000. Its totient is φ = 36400387129344.

The previous prime is 134992546569161. The next prime is 134992546569271. The reversal of 134992546569216 is 612965645299431.

134992546569216 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 9 + 2 + 5 + 46 + 569 + 2 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (134992546569161) and next prime (134992546569271).

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 127 ways as a sum of consecutive naturals, for example, 52793329410 + ... + 52793331966.

Almost surely, 2^{134992546569216} is an apocalyptic number.

134992546569216 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 134992546569216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246312071040000).

134992546569216 is an abundant number, since it is smaller than the sum of its proper divisors (357631595510784).

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

134992546569216 is a wasteful number, since it uses less digits than its factorization.

134992546569216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2881 counting only the distinct ones).

The product of its digits is 755827200, while the sum is 72.

The spelling of 134992546569216 in words is "one hundred thirty-four trillion, nine hundred ninety-two billion, five hundred forty-six million, five hundred sixty-nine thousand, two hundred sixteen".