134974600498080 has 576 divisors, whose sum is σ = 558944893398528. Its totient is φ = 28954283212800.

The previous prime is 134974600497967. The next prime is 134974600498139. The reversal of 134974600498080 is 80894006479431.

134974600498080 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 7 + 4 + 60 + 0 + 498 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 134974600497999 and 134974600498017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59374405 + ... + 61605755.

It is an arithmetic number, because the mean of its divisors is an integer number (970390439928).

Almost surely, 2^{134974600498080} is an apocalyptic number.

134974600498080 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 134974600498080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279472446699264).

134974600498080 is an abundant number, since it is smaller than the sum of its proper divisors (423970292900448).

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

134974600498080 is a wasteful number, since it uses less digits than its factorization.

134974600498080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231749 (or 2231738 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 134974600498080 in words is "one hundred thirty-four trillion, nine hundred seventy-four billion, six hundred million, four hundred ninety-eight thousand, eighty".