134887690373184 has 1260 divisors, whose sum is σ = 497693321756400. Its totient is φ = 36008643944448.

The previous prime is 134887690373123. The next prime is 134887690373209. The reversal of 134887690373184 is 481373096788431.

134887690373184 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 8 + 76 + 9 + 0 + 373 + 184 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 10204070127 + ... + 10204083345.

Almost surely, 2^{134887690373184} is an apocalyptic number.

134887690373184 is a gapful number since it is divisible by the number (14) 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 134887690373184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248846660878200).

134887690373184 is an abundant number, since it is smaller than the sum of its proper divisors (362805631383216).

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

134887690373184 is a wasteful number, since it uses less digits than its factorization.

134887690373184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13430 (or 13387 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 134887690373184 in words is "one hundred thirty-four trillion, eight hundred eighty-seven billion, six hundred ninety million, three hundred seventy-three thousand, one hundred eighty-four".