132619788900 has 243 divisors, whose sum is σ = 424750023243. Its totient is φ = 34610716800.

The previous prime is 132619788893. The next prime is 132619788907. The reversal of 132619788900 is 9887916231.

The square root of 132619788900 is 364170.

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

132619788900 is a `hidden beast` number, since 13 + 2 + 619 + 7 + 8 + 8 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132619788893) and next prime (132619788907).

It can be written as a sum of positive squares in 4 ways, for example, as 61087076964 + 71532711936 = 247158^2 + 267456^2 .

It is not an unprimeable number, because it can be changed into a prime (132619788907) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 666431001 + ... + 666431199.

Almost surely, 2^132619788900 is an apocalyptic number.

132619788900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132619788900 is the 364170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132619788900

132619788900 is an abundant number, since it is smaller than the sum of its proper divisors (292130234343).

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

132619788900 is a wasteful number, since it uses less digits than its factorization.

132619788900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 132619788900 in words is "one hundred thirty-two billion, six hundred nineteen million, seven hundred eighty-eight thousand, nine hundred".