7137652100 has 144 divisors (see below), whose sum is σ = 17110154880. Its totient is φ = 2572416000.

The previous prime is 7137652099. The next prime is 7137652141. The reversal of 7137652100 is 12567317.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10181750 + ... + 10182450.

It is an arithmetic number, because the mean of its divisors is an integer number (118820520).

Almost surely, 2^7137652100 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 7137652100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8555077440).

7137652100 is an abundant number, since it is smaller than the sum of its proper divisors (9972502780).

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

7137652100 is a wasteful number, since it uses less digits than its factorization.

7137652100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 7137652100 is about 84484.6264121467. The cubic root of 7137652100 is about 1925.3888774150.

The spelling of 7137652100 in words is "seven billion, one hundred thirty-seven million, six hundred fifty-two thousand, one hundred".