134279449920 has 1344 divisors, whose sum is σ = 607103078400. Its totient is φ = 27341107200.

The previous prime is 134279449901. The next prime is 134279449957. The reversal of 134279449920 is 29944972431.

134279449920 is a `hidden beast` number, since 1 + 3 + 42 + 7 + 94 + 499 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 431766565 + ... + 431766875.

It is an arithmetic number, because the mean of its divisors is an integer number (451713600).

Almost surely, 2^134279449920 is an apocalyptic number.

134279449920 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 134279449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303551539200).

134279449920 is an abundant number, since it is smaller than the sum of its proper divisors (472823628480).

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

134279449920 is a wasteful number, since it uses less digits than its factorization.

134279449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 134279449920 in words is "one hundred thirty-four billion, two hundred seventy-nine million, four hundred forty-nine thousand, nine hundred twenty".