134178186985920 has 1792 divisors, whose sum is σ = 599201257881600. Its totient is φ = 27454629888000.

The previous prime is 134178186985889. The next prime is 134178186985933. The reversal of 134178186985920 is 29589681871431.

It is a happy number.

134178186985920 is a `hidden beast` number, since 1 + 3 + 4 + 17 + 8 + 18 + 6 + 9 + 8 + 592 + 0 = 666.

It is a super-2 number, since 2×134178186985920² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 60413410410 + ... + 60413412630.

It is a 2-persistent number, because it is pandigital, and so is 2⋅134178186985920 = 268356373971840, but 3⋅134178186985920 = 402534560957760 is not.

Almost surely, 2^{134178186985920} is an apocalyptic number.

134178186985920 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 134178186985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299600628940800).

134178186985920 is an abundant number, since it is smaller than the sum of its proper divisors (465023070895680).

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

134178186985920 is a wasteful number, since it uses less digits than its factorization.

134178186985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3615 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 134178186985920 in words is "one hundred thirty-four trillion, one hundred seventy-eight billion, one hundred eighty-six million, nine hundred eighty-five thousand, nine hundred twenty".