134546973750 has 640 divisors, whose sum is σ = 442658304000. Its totient is φ = 30023136000.

The previous prime is 134546973733. The next prime is 134546973779. The reversal of 134546973750 is 57379645431.

134546973750 is a `hidden beast` number, since 1 + 3 + 4 + 546 + 97 + 3 + 7 + 5 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1511763706 + ... + 1511763794.

It is an arithmetic number, because the mean of its divisors is an integer number (691653600).

Almost surely, 2^134546973750 is an apocalyptic number.

134546973750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134546973750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221329152000).

134546973750 is an abundant number, since it is smaller than the sum of its proper divisors (308111330250).

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

134546973750 is an frugal number, since it uses more digits than its factorization.

134546973750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 134546973750 in words is "one hundred thirty-four billion, five hundred forty-six million, nine hundred seventy-three thousand, seven hundred fifty".