134619533048448 has 1536 divisors, whose sum is σ = 485170882560000. Its totient is φ = 37101373747200.

The previous prime is 134619533048447. The next prime is 134619533048453. The reversal of 134619533048448 is 844840335916431.

134619533048448 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 19 + 533 + 0 + 4 + 84 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (134619533048447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 162387856098 + ... + 162387856926.

It is an arithmetic number, because the mean of its divisors is an integer number (315866460000).

Almost surely, 2^{134619533048448} is an apocalyptic number.

134619533048448 is a gapful number since it is divisible by the number (18) 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 134619533048448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242585441280000).

134619533048448 is an abundant number, since it is smaller than the sum of its proper divisors (350551349511552).

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

134619533048448 is an frugal number, since it uses more digits than its factorization.

134619533048448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 134619533048448 in words is "one hundred thirty-four trillion, six hundred nineteen billion, five hundred thirty-three million, forty-eight thousand, four hundred forty-eight".