815329152 has 192 divisors, whose sum is σ = 2655394560. Its totient is φ = 246965760.

The previous prime is 815329117. The next prime is 815329183. The reversal of 815329152 is 251923518.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×815329152² = 1329523252202078208, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 340953 + ... + 343335.

It is an arithmetic number, because the mean of its divisors is an integer number (13830180).

Almost surely, 2^815329152 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 815329152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327697280).

815329152 is an abundant number, since it is smaller than the sum of its proper divisors (1840065408).

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

815329152 is a wasteful number, since it uses less digits than its factorization.

815329152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2399 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 815329152 is about 28553.9691111411. The cubic root of 815329152 is about 934.2095952029.

The spelling of 815329152 in words is "eight hundred fifteen million, three hundred twenty-nine thousand, one hundred fifty-two".