134543148042816 has 672 divisors, whose sum is σ = 426253222257408. Its totient is φ = 40407922114560.

The previous prime is 134543148042773. The next prime is 134543148042977. The reversal of 134543148042816 is 618240841345431.

134543148042816 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 43 + 1 + 480 + 42 + 81 + 6 = 666.

It is a super-2 number, since 2×134543148042816² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3574168891 + ... + 3574206533.

It is an arithmetic number, because the mean of its divisors is an integer number (634305390264).

Almost surely, 2^{134543148042816} is an apocalyptic number.

134543148042816 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 134543148042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213126611128704).

134543148042816 is an abundant number, since it is smaller than the sum of its proper divisors (291710074214592).

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

134543148042816 is a wasteful number, since it uses less digits than its factorization.

134543148042816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37899 (or 37886 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 134543148042816 in words is "one hundred thirty-four trillion, five hundred forty-three billion, one hundred forty-eight million, forty-two thousand, eight hundred sixteen".