134541267840 has 768 divisors, whose sum is σ = 583539552000. Its totient is φ = 29130264576.

The previous prime is 134541267823. The next prime is 134541267851. The reversal of 134541267840 is 48762145431.

134541267840 is a `hidden beast` number, since 1 + 3 + 4 + 541 + 2 + 67 + 8 + 40 = 666.

134541267840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 16083499 + ... + 16091861.

It is an arithmetic number, because the mean of its divisors is an integer number (759817125).

Almost surely, 2^134541267840 is an apocalyptic number.

134541267840 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 134541267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291769776000).

134541267840 is an abundant number, since it is smaller than the sum of its proper divisors (448998284160).

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

134541267840 is a wasteful number, since it uses less digits than its factorization.

134541267840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8424 (or 8399 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 134541267840 in words is "one hundred thirty-four billion, five hundred forty-one million, two hundred sixty-seven thousand, eight hundred forty".