134357672986416 has 960 divisors, whose sum is σ = 445517001086976. Its totient is φ = 38844068659200.

The previous prime is 134357672986351. The next prime is 134357672986451. The reversal of 134357672986416 is 614689276753431.

134357672986416 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 57 + 6 + 72 + 98 + 6 + 416 = 666.

134357672986416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13855586880 + ... + 13855596576.

Almost surely, 2^{134357672986416} is an apocalyptic number.

134357672986416 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 134357672986416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222758500543488).

134357672986416 is an abundant number, since it is smaller than the sum of its proper divisors (311159328100560).

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

134357672986416 is a wasteful number, since it uses less digits than its factorization.

134357672986416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9952 (or 9934 counting only the distinct ones).

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

The spelling of 134357672986416 in words is "one hundred thirty-four trillion, three hundred fifty-seven billion, six hundred seventy-two million, nine hundred eighty-six thousand, four hundred sixteen".