196145040 has 240 divisors, whose sum is σ = 762326208. Its totient is φ = 41352192.

The previous prime is 196145011. The next prime is 196145051. The reversal of 196145040 is 40541691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 196144989 and 196145007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152239 + ... + 153521.

Almost surely, 2^196145040 is an apocalyptic number.

196145040 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 196145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381163104).

196145040 is an abundant number, since it is smaller than the sum of its proper divisors (566181168).

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

196145040 is a wasteful number, since it uses less digits than its factorization.

196145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 196145040 is about 14005.1790420544. The cubic root of 196145040 is about 581.0218214091.

The spelling of 196145040 in words is "one hundred ninety-six million, one hundred forty-five thousand, forty".