134409491160 has 768 divisors, whose sum is σ = 518758732800. Its totient is φ = 27678486528.

The previous prime is 134409491159. The next prime is 134409491173. The reversal of 134409491160 is 61194904431.

It is a Cunningham number, because it is equal to 366619²-1.

It is a super-2 number, since 2×134409491160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 168643882 + ... + 168644678.

It is an arithmetic number, because the mean of its divisors is an integer number (675467100).

Almost surely, 2^134409491160 is an apocalyptic number.

134409491160 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 134409491160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259379366400).

134409491160 is an abundant number, since it is smaller than the sum of its proper divisors (384349241640).

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

134409491160 is a wasteful number, since it uses less digits than its factorization.

134409491160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 134409491160 in words is "one hundred thirty-four billion, four hundred nine million, four hundred ninety-one thousand, one hundred sixty".