95152000 has 128 divisors (see below), whose sum is σ = 249818400. Its totient is φ = 35942400.

The previous prime is 95151977. The next prime is 95152003. The reversal of 95152000 is 25159.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95152003) 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, 303844 + ... + 304156.

Almost surely, 2^95152000 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 95152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124909200).

95152000 is an abundant number, since it is smaller than the sum of its proper divisors (154666400).

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

95152000 is a wasteful number, since it uses less digits than its factorization.

95152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 95152000 is about 9754.5886638033. The cubic root of 95152000 is about 456.5334886719.

Adding to 95152000 its reverse (25159), we get a palindrome (95177159).

It can be divided in two parts, 95 and 152000, that multiplied together give a square (14440000 = 3800²).

The spelling of 95152000 in words is "ninety-five million, one hundred fifty-two thousand".