275185152 has 240 divisors, whose sum is σ = 890501040. Its totient is φ = 81100800.

The previous prime is 275185121. The next prime is 275185159. The reversal of 275185152 is 251581572.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275185159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3091924 + ... + 3092012.

It is an arithmetic number, because the mean of its divisors is an integer number (3710421).

Almost surely, 2^275185152 is an apocalyptic number.

275185152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275185152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445250520).

275185152 is an abundant number, since it is smaller than the sum of its proper divisors (615315888).

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

275185152 is a wasteful number, since it uses less digits than its factorization.

275185152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 166 counting only the distinct ones).

The product of its digits is 28000, while the sum is 36.

The square root of 275185152 is about 16588.7055552867. The cubic root of 275185152 is about 650.4416343858.

The spelling of 275185152 in words is "two hundred seventy-five million, one hundred eighty-five thousand, one hundred fifty-two".