3134126160 has 240 divisors, whose sum is σ = 11528637120. Its totient is φ = 756725760.

The previous prime is 3134126131. The next prime is 3134126167. The reversal of 3134126160 is 616214313.

3134126160 is a `hidden beast` number, since 3 + 1 + 3 + 41 + 2 + 616 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134126167) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2430796 + ... + 2432084.

It is an arithmetic number, because the mean of its divisors is an integer number (48035988).

Almost surely, 2^3134126160 is an apocalyptic number.

3134126160 is a gapful number since it is divisible by the number (30) 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 3134126160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5764318560).

3134126160 is an abundant number, since it is smaller than the sum of its proper divisors (8394510960).

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

3134126160 is a wasteful number, since it uses less digits than its factorization.

3134126160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3134126160 is about 55983.2667857102. The cubic root of 3134126160 is about 1463.4306887881.

It can be divided in two parts, 31 and 34126160, that added together give a triangular number (34126191 = T₈₂₆₁).

The spelling of 3134126160 in words is "three billion, one hundred thirty-four million, one hundred twenty-six thousand, one hundred sixty".