7538145120 has 960 divisors, whose sum is σ = 32141007360. Its totient is φ = 1655976960.

The previous prime is 7538145119. The next prime is 7538145169. The reversal of 7538145120 is 215418357.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 327745429 + ... + 327745451.

It is an arithmetic number, because the mean of its divisors is an integer number (33480216).

Almost surely, 2^7538145120 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 7538145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070503680).

7538145120 is an abundant number, since it is smaller than the sum of its proper divisors (24602862240).

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

7538145120 is a wasteful number, since it uses less digits than its factorization.

7538145120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 7538145120 is about 86822.4920167580. The cubic root of 7538145120 is about 1960.7467236670.

The spelling of 7538145120 in words is "seven billion, five hundred thirty-eight million, one hundred forty-five thousand, one hundred twenty".