196705152 has 256 divisors, whose sum is σ = 681523200. Its totient is φ = 54687744.

The previous prime is 196705151. The next prime is 196705193. The reversal of 196705152 is 251507691.

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 (196705151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1136938 + ... + 1137110.

It is an arithmetic number, because the mean of its divisors is an integer number (2662200).

Almost surely, 2^196705152 is an apocalyptic number.

196705152 is a gapful number since it is divisible by the number (12) 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 196705152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340761600).

196705152 is an abundant number, since it is smaller than the sum of its proper divisors (484818048).

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

196705152 is a wasteful number, since it uses less digits than its factorization.

196705152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 196705152 is about 14025.1613894458. The cubic root of 196705152 is about 581.5743513327.

The spelling of 196705152 in words is "one hundred ninety-six million, seven hundred five thousand, one hundred fifty-two".