815136 has 48 divisors (see below), whose sum is σ = 2447424. Its totient is φ = 232704.

The previous prime is 815123. The next prime is 815141. The reversal of 815136 is 631518.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 7.

It is an unprimeable number.

815136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66 + ... + 1278.

It is an arithmetic number, because the mean of its divisors is an integer number (50988).

2⁸¹⁵¹³⁶ 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 815136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223712).

815136 is an abundant number, since it is smaller than the sum of its proper divisors (1632288).

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

815136 is a wasteful number, since it uses less digits than its factorization.

815136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1225 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 815136 is about 902.8488245548. The cubic root of 815136 is about 93.4135817759.

The spelling of 815136 in words is "eight hundred fifteen thousand, one hundred thirty-six".