7132815900 has 216 divisors, whose sum is σ = 25609444224. Its totient is φ = 1626652800.

The previous prime is 7132815889. The next prime is 7132815929. The reversal of 7132815900 is 95182317.

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 71 ways as a sum of consecutive naturals, for example, 3545895 + ... + 3547905.

Almost surely, 2^7132815900 is an apocalyptic number.

7132815900 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 7132815900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12804722112).

7132815900 is an abundant number, since it is smaller than the sum of its proper divisors (18476628324).

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

7132815900 is a wasteful number, since it uses less digits than its factorization.

7132815900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 7132815900 is about 84455.9997868713. Note that the first 3 decimals coincide. The cubic root of 7132815900 is about 1924.9539225492.

Adding to 7132815900 its sum of digits (36), we get a square (7132815936 = 84456²).

The spelling of 7132815900 in words is "seven billion, one hundred thirty-two million, eight hundred fifteen thousand, nine hundred".