7133132160 has 640 divisors, whose sum is σ = 31777194240. Its totient is φ = 1481379840.

The previous prime is 7133132159. The next prime is 7133132183. The reversal of 7133132160 is 612313317.

7133132160 is a `hidden beast` number, since 7 + 1 + 331 + 321 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3990787 + ... + 3992573.

It is an arithmetic number, because the mean of its divisors is an integer number (49651866).

Almost surely, 2^7133132160 is an apocalyptic number.

7133132160 is a gapful number since it is divisible by the number (70) 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 7133132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15888597120).

7133132160 is an abundant number, since it is smaller than the sum of its proper divisors (24644062080).

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

7133132160 is a wasteful number, since it uses less digits than its factorization.

7133132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 7133132160 is about 84457.8721020131. The cubic root of 7133132160 is about 1924.9823721329.

Adding to 7133132160 its reverse (612313317), we get a palindrome (7745445477).

The spelling of 7133132160 in words is "seven billion, one hundred thirty-three million, one hundred thirty-two thousand, one hundred sixty".