815150952 has 480 divisors, whose sum is σ = 3114365760. Its totient is φ = 192844800.

The previous prime is 815150909. The next prime is 815150953. The reversal of 815150952 is 259051518.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (815150953) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26295177 + ... + 26295207.

It is an arithmetic number, because the mean of its divisors is an integer number (6488262).

Almost surely, 2^815150952 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 815150952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557182880).

815150952 is an abundant number, since it is smaller than the sum of its proper divisors (2299214808).

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

815150952 is a wasteful number, since it uses less digits than its factorization.

815150952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The square root of 815150952 is about 28550.8485338002. The cubic root of 815150952 is about 934.1415293265.

The spelling of 815150952 in words is "eight hundred fifteen million, one hundred fifty thousand, nine hundred fifty-two".