134006423040 has 960 divisors, whose sum is σ = 559707033600. Its totient is φ = 29587783680.

The previous prime is 134006423021. The next prime is 134006423053. The reversal of 134006423040 is 40324600431.

134006423040 is a `hidden beast` number, since 13 + 4 + 0 + 0 + 642 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 134006422995 and 134006423013.

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, 244984047 + ... + 244984593.

It is an arithmetic number, because the mean of its divisors is an integer number (583028160).

Almost surely, 2^134006423040 is an apocalyptic number.

134006423040 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 134006423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279853516800).

134006423040 is an abundant number, since it is smaller than the sum of its proper divisors (425700610560).

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

134006423040 is an equidigital number, since it uses as much as digits as its factorization.

134006423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 134006423040 in words is "one hundred thirty-four billion, six million, four hundred twenty-three thousand, forty".