134019476640 has 1008 divisors, whose sum is σ = 559542725280. Its totient is φ = 30229355520.

The previous prime is 134019476639. The next prime is 134019476651. The reversal of 134019476640 is 46674910431.

134019476640 is a `hidden beast` number, since 134 + 0 + 1 + 9 + 476 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×134019476640² (a number of 23 digits) contains 22 as substring.

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

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 167 ways as a sum of consecutive naturals, for example, 748712071 + ... + 748712249.

It is an arithmetic number, because the mean of its divisors is an integer number (555101910).

Almost surely, 2^134019476640 is an apocalyptic number.

134019476640 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 134019476640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279771362640).

134019476640 is an abundant number, since it is smaller than the sum of its proper divisors (425523248640).

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

134019476640 is a wasteful number, since it uses less digits than its factorization.

134019476640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 134019476640 in words is "one hundred thirty-four billion, nineteen million, four hundred seventy-six thousand, six hundred forty".