131094684900 has 297 divisors, whose sum is σ = 429593841691. Its totient is φ = 34723961280.

The previous prime is 131094684881. The next prime is 131094684943. The reversal of 131094684900 is 9486490131.

The square root of 131094684900 is 362070.

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

131094684900 is a `hidden beast` number, since 1 + 3 + 10 + 94 + 68 + 490 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39125631204 + 91969053696 = 197802^2 + 303264^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 879830026 + ... + 879830174.

Almost surely, 2^131094684900 is an apocalyptic number.

131094684900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131094684900 is the 362070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131094684900

131094684900 is an abundant number, since it is smaller than the sum of its proper divisors (298499156791).

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

131094684900 is an frugal number, since it uses more digits than its factorization.

131094684900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 131094684900 in words is "one hundred thirty-one billion, ninety-four million, six hundred eighty-four thousand, nine hundred".