134400881664 has 792 divisors, whose sum is σ = 477715562688. Its totient is φ = 37623398400.

The previous prime is 134400881581. The next prime is 134400881677. The reversal of 134400881664 is 466188004431.

134400881664 is a `hidden beast` number, since 1 + 3 + 4 + 400 + 88 + 166 + 4 = 666.

134400881664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 890071989 + ... + 890072139.

Almost surely, 2^134400881664 is an apocalyptic number.

134400881664 is a gapful number since it is divisible by the number (14) 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 134400881664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238857781344).

134400881664 is an abundant number, since it is smaller than the sum of its proper divisors (343314681024).

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

134400881664 is an equidigital number, since it uses as much as digits as its factorization.

134400881664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

It can be divided in two parts, 134400 and 881664, that added together give a square (1016064 = 1008²).

The spelling of 134400881664 in words is "one hundred thirty-four billion, four hundred million, eight hundred eighty-one thousand, six hundred sixty-four".