134875467360 has 192 divisors, whose sum is σ = 474129028800. Its totient is φ = 35809468416.

The previous prime is 134875467329. The next prime is 134875467403. The reversal of 134875467360 is 63764578431.

It is a happy number.

134875467360 is a `hidden beast` number, since 1 + 34 + 8 + 7 + 546 + 7 + 3 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 134875467297 and 134875467306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 921112 + ... + 1057448.

It is an arithmetic number, because the mean of its divisors is an integer number (2469422025).

Almost surely, 2^134875467360 is an apocalyptic number.

134875467360 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 134875467360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237064514400).

134875467360 is an abundant number, since it is smaller than the sum of its proper divisors (339253561440).

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

134875467360 is a wasteful number, since it uses less digits than its factorization.

134875467360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136590 (or 136576 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 134875467360 in words is "one hundred thirty-four billion, eight hundred seventy-five million, four hundred sixty-seven thousand, three hundred sixty".