275101152 has 96 divisors (see below), whose sum is σ = 776563200. Its totient is φ = 84999168.

The previous prime is 275101121. The next prime is 275101153. The reversal of 275101152 is 251101572.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275101153) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 84124 + ... + 87332.

It is an arithmetic number, because the mean of its divisors is an integer number (8089200).

Almost surely, 2^275101152 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 275101152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388281600).

275101152 is an abundant number, since it is smaller than the sum of its proper divisors (501462048).

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

275101152 is a wasteful number, since it uses less digits than its factorization.

275101152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 24.

The square root of 275101152 is about 16586.1735189283. The cubic root of 275101152 is about 650.3754454253.

The spelling of 275101152 in words is "two hundred seventy-five million, one hundred one thousand, one hundred fifty-two".