134973925806240 has 240 divisors, whose sum is σ = 476513751161448. Its totient is φ = 35980332171264.

The previous prime is 134973925806191. The next prime is 134973925806241. The reversal of 134973925806240 is 42608529379431.

134973925806240 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 7 + 3 + 9 + 2 + 580 + 6 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 129660034090896 + 5313891715344 = 11386836^2 + 2305188^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (134973925806241) 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 39 ways as a sum of consecutive naturals, for example, 34877584 + ... + 38553776.

It is a 1-persistent number, because it is pandigital, but 2⋅134973925806240 = 269947851612480 is not.

Almost surely, 2^{134973925806240} is an apocalyptic number.

134973925806240 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 134973925806240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238256875580724).

134973925806240 is an abundant number, since it is smaller than the sum of its proper divisors (341539825355208).

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

134973925806240 is a wasteful number, since it uses less digits than its factorization.

134973925806240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679053 (or 3679036 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 134973925806240 in words is "one hundred thirty-four trillion, nine hundred seventy-three billion, nine hundred twenty-five million, eight hundred six thousand, two hundred forty".