195156864 has 160 divisors (see below), whose sum is σ = 663999600. Its totient is φ = 55738368.

The previous prime is 195156859. The next prime is 195156869. The reversal of 195156864 is 468651591.

195156864 is a `hidden beast` number, since 19 + 515 + 68 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (195156859) and next prime (195156869).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195156869) 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 19 ways as a sum of consecutive naturals, for example, 71232 + ... + 73920.

Almost surely, 2^195156864 is an apocalyptic number.

195156864 is a gapful number since it is divisible by the number (14) 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 195156864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331999800).

195156864 is an abundant number, since it is smaller than the sum of its proper divisors (468842736).

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

195156864 is an equidigital number, since it uses as much as digits as its factorization.

195156864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2701 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 195156864 is about 13969.8555468552. The cubic root of 195156864 is about 580.0444516070.

The spelling of 195156864 in words is "one hundred ninety-five million, one hundred fifty-six thousand, eight hundred sixty-four".