815617152 has 144 divisors (see below), whose sum is σ = 2730399750. Its totient is φ = 233017344.

The previous prime is 815617147. The next prime is 815617157. The reversal of 815617152 is 251716518.

815617152 is a `hidden beast` number, since 81 + 561 + 7 + 15 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (815617147) and next prime (815617157).

It can be written as a sum of positive squares in only one way, i.e., 455224896 + 360392256 = 21336^2 + 18984^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×815617152² = 1330462677273182208, which contains 22 as substring.

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 (815617157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 49224 + ... + 63672.

Almost surely, 2^815617152 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 815617152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365199875).

815617152 is an abundant number, since it is smaller than the sum of its proper divisors (1914782598).

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

815617152 is a wasteful number, since it uses less digits than its factorization.

815617152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14483 (or 14461 counting only the distinct ones).

The product of its digits is 16800, while the sum is 36.

The square root of 815617152 is about 28559.0117476078. The cubic root of 815617152 is about 934.3195796960.

The spelling of 815617152 in words is "eight hundred fifteen million, six hundred seventeen thousand, one hundred fifty-two".