95185152 has 144 divisors (see below), whose sum is σ = 288449280. Its totient is φ = 30947328.

The previous prime is 95185151. The next prime is 95185169. The reversal of 95185152 is 25158159.

It is a happy number.

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

It is a super-2 number, since 2×95185152² = 18120426322526208, 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 (95185151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324718 + ... + 325010.

It is an arithmetic number, because the mean of its divisors is an integer number (2003120).

Almost surely, 2^95185152 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 95185152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144224640).

95185152 is an abundant number, since it is smaller than the sum of its proper divisors (193264128).

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

95185152 is a wasteful number, since it uses less digits than its factorization.

95185152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 345 counting only the distinct ones).

The product of its digits is 18000, while the sum is 36.

The square root of 95185152 is about 9756.2878186327. The cubic root of 95185152 is about 456.5865029397.

The spelling of 95185152 in words is "ninety-five million, one hundred eighty-five thousand, one hundred fifty-two".