134105151040 has 224 divisors, whose sum is σ = 367869703680. Its totient is φ = 45613891584.

The previous prime is 134105151007. The next prime is 134105151053. The reversal of 134105151040 is 40151501431.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×134105151040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134105150996 and 134105151014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275369677 + ... + 275370163.

Almost surely, 2^134105151040 is an apocalyptic number.

134105151040 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 134105151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183934851840).

134105151040 is an abundant number, since it is smaller than the sum of its proper divisors (233764552640).

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

134105151040 is a wasteful number, since it uses less digits than its factorization.

134105151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 134105151040 its reverse (40151501431), we get a palindrome (174256652471).

The spelling of 134105151040 in words is "one hundred thirty-four billion, one hundred five million, one hundred fifty-one thousand, forty".