134478489600 has 1152 divisors, whose sum is σ = 608523552000. Its totient is φ = 28346941440.

The previous prime is 134478489589. The next prime is 134478489631. The reversal of 134478489600 is 6984874431.

134478489600 is a `hidden beast` number, since 1 + 34 + 4 + 78 + 489 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125797866 + ... + 125798934.

It is an arithmetic number, because the mean of its divisors is an integer number (528232250).

Almost surely, 2^134478489600 is an apocalyptic number.

134478489600 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 134478489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304261776000).

134478489600 is an abundant number, since it is smaller than the sum of its proper divisors (474045062400).

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

134478489600 is a wasteful number, since it uses less digits than its factorization.

134478489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 134478489600 in words is "one hundred thirty-four billion, four hundred seventy-eight million, four hundred eighty-nine thousand, six hundred".