7135413120 has 768 divisors, whose sum is σ = 28817268480. Its totient is φ = 1672151040.

The previous prime is 7135413107. The next prime is 7135413143. The reversal of 7135413120 is 213145317.

7135413120 is a `hidden beast` number, since 71 + 3 + 541 + 31 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 73560912 + ... + 73561008.

It is an arithmetic number, because the mean of its divisors is an integer number (37522485).

Almost surely, 2^7135413120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7135413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14408634240).

7135413120 is an abundant number, since it is smaller than the sum of its proper divisors (21681855360).

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

7135413120 is a wasteful number, since it uses less digits than its factorization.

7135413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 7135413120 is about 84471.3745596696. The cubic root of 7135413120 is about 1925.1875339871.

Adding to 7135413120 its reverse (213145317), we get a palindrome (7348558437).

The spelling of 7135413120 in words is "seven billion, one hundred thirty-five million, four hundred thirteen thousand, one hundred twenty".