1965148900 has 243 divisors, whose sum is σ = 5244592059. Its totient is φ = 638352000.

The previous prime is 1965148883. The next prime is 1965148943. The reversal of 1965148900 is 98415691.

The square root of 1965148900 is 44330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 506520036 + 1458628864 = 22506^2 + 38192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 63391885 + ... + 63391915.

Almost surely, 2^1965148900 is an apocalyptic number.

1965148900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1965148900 is the 44330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1965148900

1965148900 is an abundant number, since it is smaller than the sum of its proper divisors (3279443159).

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

1965148900 is a wasteful number, since it uses less digits than its factorization.

1965148900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The cubic root of 1965148900 is about 1252.5598528110.

The spelling of 1965148900 in words is "one billion, nine hundred sixty-five million, one hundred forty-eight thousand, nine hundred".