134095480197120 has 6656 divisors, whose sum is σ = 623955728793600. Its totient is φ = 27243640258560.

The previous prime is 134095480197037. The next prime is 134095480197131. The reversal of 134095480197120 is 21791084590431.

134095480197120 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 9 + 548 + 0 + 1 + 9 + 71 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (6656).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 4325660651505 + ... + 4325660651535.

Almost surely, 2^{134095480197120} is an apocalyptic number.

134095480197120 is a gapful number since it is divisible by the number (10) 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 134095480197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311977864396800).

134095480197120 is an abundant number, since it is smaller than the sum of its proper divisors (489860248596480).

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

134095480197120 is a wasteful number, since it uses less digits than its factorization.

134095480197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 134095480197120 in words is "one hundred thirty-four trillion, ninety-five billion, four hundred eighty million, one hundred ninety-seven thousand, one hundred twenty".