134352079488 has 768 divisors, whose sum is σ = 461931724800. Its totient is φ = 38494310400.

The previous prime is 134352079429. The next prime is 134352079507. The reversal of 134352079488 is 884970253431.

It is a happy number.

134352079488 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 520 + 79 + 48 + 8 = 666.

It is a super-3 number, since 3×134352079488³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 562142473 + ... + 562142711.

It is an arithmetic number, because the mean of its divisors is an integer number (601473600).

Almost surely, 2^134352079488 is an apocalyptic number.

134352079488 is a gapful number since it is divisible by the number (18) 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 134352079488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230965862400).

134352079488 is an abundant number, since it is smaller than the sum of its proper divisors (327579645312).

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

134352079488 is a wasteful number, since it uses less digits than its factorization.

134352079488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 134352079488 in words is "one hundred thirty-four billion, three hundred fifty-two million, seventy-nine thousand, four hundred eighty-eight".