134852649738240 has 896 divisors, whose sum is σ = 519854682147840. Its totient is φ = 29158746882048.

The previous prime is 134852649738179. The next prime is 134852649738269. The reversal of 134852649738240 is 42837946258431.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11979442692 + ... + 11979453948.

It is a 1-persistent number, because it is pandigital, but 2⋅134852649738240 = 269705299476480 is not.

Almost surely, 2^{134852649738240} is an apocalyptic number.

134852649738240 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 134852649738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259927341073920).

134852649738240 is an abundant number, since it is smaller than the sum of its proper divisors (385002032409600).

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

134852649738240 is a wasteful number, since it uses less digits than its factorization.

134852649738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12050 (or 12026 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 66.

The spelling of 134852649738240 in words is "one hundred thirty-four trillion, eight hundred fifty-two billion, six hundred forty-nine million, seven hundred thirty-eight thousand, two hundred forty".