134351944384000 has 960 divisors, whose sum is σ = 423794018089728. Its totient is φ = 42181558272000.

The previous prime is 134351944383991. The next prime is 134351944384033. The reversal of 134351944384000 is 483449153431.

It is a happy number.

It is a super-2 number, since 2×134351944384000² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1972509945 + ... + 1972578055.

Almost surely, 2^{134351944384000} is an apocalyptic number.

134351944384000 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 134351944384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211897009044864).

134351944384000 is an abundant number, since it is smaller than the sum of its proper divisors (289442073705728).

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

134351944384000 is an equidigital number, since it uses as much as digits as its factorization.

134351944384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68212 (or 68179 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

The spelling of 134351944384000 in words is "one hundred thirty-four trillion, three hundred fifty-one billion, nine hundred forty-four million, three hundred eighty-four thousand".