196137120 has 96 divisors (see below), whose sum is σ = 619980480. Its totient is φ = 52121600.

The previous prime is 196137103. The next prime is 196137167. The reversal of 196137120 is 21731691.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191971 + ... + 192989.

It is an arithmetic number, because the mean of its divisors is an integer number (6458130).

Almost surely, 2^196137120 is an apocalyptic number.

196137120 is a gapful number since it is divisible by the number (10) 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 196137120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309990240).

196137120 is an abundant number, since it is smaller than the sum of its proper divisors (423843360).

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

196137120 is a wasteful number, since it uses less digits than its factorization.

196137120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 196137120 is about 14004.8962866563. The cubic root of 196137120 is about 581.0140010826.

The spelling of 196137120 in words is "one hundred ninety-six million, one hundred thirty-seven thousand, one hundred twenty".