131890996224 has 495 divisors, whose sum is σ = 430921136547. Its totient is φ = 40163475456.

The previous prime is 131890996217. The next prime is 131890996241. The reversal of 131890996224 is 422699098131.

The square root of 131890996224 is 363168.

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

131890996224 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 9 + 0 + 9 + 9 + 622 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24096973824 + 107794022400 = 155232^2 + 328320^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1359700944 + ... + 1359701040.

Almost surely, 2^131890996224 is an apocalyptic number.

131890996224 is the 363168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131890996224

131890996224 is an abundant number, since it is smaller than the sum of its proper divisors (299030140323).

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

131890996224 is an frugal number, since it uses more digits than its factorization.

131890996224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 131890996224 in words is "one hundred thirty-one billion, eight hundred ninety million, nine hundred ninety-six thousand, two hundred twenty-four".