152776 has 24 divisors (see below), whose sum is σ = 312930. Its totient is φ = 69888.

The previous prime is 152767. The next prime is 152777. The reversal of 152776 is 677251.

It can be written as a sum of positive squares in 3 ways, for example, as 30276 + 122500 = 174^2 + 350^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1296 + ... + 1408.

2¹⁵²⁷⁷⁶ is an apocalyptic number.

152776 is the 226-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156465).

152776 is an abundant number, since it is smaller than the sum of its proper divisors (160154).

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

152776 is a wasteful number, since it uses less digits than its factorization.

152776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 128 counting only the distinct ones).

The product of its digits is 2940, while the sum is 28.

The square root of 152776 is about 390.8657058377. The cubic root of 152776 is about 53.4586981434.

The spelling of 152776 in words is "one hundred fifty-two thousand, seven hundred seventy-six".