7534149120 has 160 divisors (see below), whose sum is σ = 26762171040. Its totient is φ = 2009088000.

The previous prime is 7534149113. The next prime is 7534149151. The reversal of 7534149120 is 219414357.

7534149120 is a `hidden beast` number, since 7 + 534 + 14 + 91 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14620 + ... + 123620.

It is an arithmetic number, because the mean of its divisors is an integer number (167263569).

Almost surely, 2^7534149120 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 7534149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13381085520).

7534149120 is an abundant number, since it is smaller than the sum of its proper divisors (19228021920).

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

7534149120 is a wasteful number, since it uses less digits than its factorization.

7534149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109033 (or 109011 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7534149120 is about 86799.4764961172. The cubic root of 7534149120 is about 1960.4001959439.

The spelling of 7534149120 in words is "seven billion, five hundred thirty-four million, one hundred forty-nine thousand, one hundred twenty".