134811107706240 has 2560 divisors, whose sum is σ = 581236873113600. Its totient is φ = 29131546558464.

The previous prime is 134811107706239. The next prime is 134811107706263. The reversal of 134811107706240 is 42607701118431.

134811107706240 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 1 + 1 + 10 + 7 + 7 + 0 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 137984756632 + ... + 137984757608.

It is an arithmetic number, because the mean of its divisors is an integer number (227045653560).

Almost surely, 2^{134811107706240} is an apocalyptic number.

134811107706240 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 134811107706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290618436556800).

134811107706240 is an abundant number, since it is smaller than the sum of its proper divisors (446425765407360).

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

134811107706240 is a wasteful number, since it uses less digits than its factorization.

134811107706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 134811107706240 in words is "one hundred thirty-four trillion, eight hundred eleven billion, one hundred seven million, seven hundred six thousand, two hundred forty".