134629387665600 has 672 divisors, whose sum is σ = 460735655030784. Its totient is φ = 34389997977600.

The previous prime is 134629387665571. The next prime is 134629387665601. The reversal of 134629387665600 is 6566783926431.

It is not an unprimeable number, because it can be changed into a prime (134629387665601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3203686189 + ... + 3203728211.

It is an arithmetic number, because the mean of its divisors is an integer number (685618534272).

It is a 1-persistent number, because it is pandigital, but 2⋅134629387665600 = 269258775331200 is not.

Almost surely, 2^{134629387665600} is an apocalyptic number.

134629387665600 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 134629387665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230367827515392).

134629387665600 is an abundant number, since it is smaller than the sum of its proper divisors (326106267365184).

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

134629387665600 is a wasteful number, since it uses less digits than its factorization.

134629387665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42385 (or 42370 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 66.

The spelling of 134629387665600 in words is "one hundred thirty-four trillion, six hundred twenty-nine billion, three hundred eighty-seven million, six hundred sixty-five thousand, six hundred".