134399916489600 has 192 divisors, whose sum is σ = 491866361358000. Its totient is φ = 35839977707520.

The previous prime is 134399916489599. The next prime is 134399916489647. The reversal of 134399916489600 is 6984619993431.

134399916489600 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 9 + 9 + 9 + 1 + 6 + 4 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×134399916489600² (a number of 29 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 777690895 + ... + 777863694.

Almost surely, 2^{134399916489600} is an apocalyptic number.

134399916489600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134399916489600 is an abundant number, since it is smaller than the sum of its proper divisors (357466444868400).

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

134399916489600 is a wasteful number, since it uses less digits than its factorization.

134399916489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555554622 (or 1555554599 counting only the distinct ones).

The product of its (nonzero) digits is 272097792, while the sum is 72.

The spelling of 134399916489600 in words is "one hundred thirty-four trillion, three hundred ninety-nine billion, nine hundred sixteen million, four hundred eighty-nine thousand, six hundred".