134374760633440 has 192 divisors, whose sum is σ = 340894796175360. Its totient is φ = 49874269757440.

The previous prime is 134374760633417. The next prime is 134374760633459. The reversal of 134374760633440 is 44336067473431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107517735 + ... + 108760345.

It is an arithmetic number, because the mean of its divisors is an integer number (1775493730080).

Almost surely, 2^{134374760633440} is an apocalyptic number.

134374760633440 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 134374760633440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170447398087680).

134374760633440 is an abundant number, since it is smaller than the sum of its proper divisors (206520035541920).

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

134374760633440 is a wasteful number, since it uses less digits than its factorization.

134374760633440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243205 (or 1243197 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 55.

The spelling of 134374760633440 in words is "one hundred thirty-four trillion, three hundred seventy-four billion, seven hundred sixty million, six hundred thirty-three thousand, four hundred forty".