131961600 has 324 divisors, whose sum is σ = 494239200. Its totient is φ = 33546240.

The previous prime is 131961587. The next prime is 131961601. The reversal of 131961600 is 6169131.

It is not an unprimeable number, because it can be changed into a prime (131961601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1670361 + ... + 1670439.

Almost surely, 2^131961600 is an apocalyptic number.

131961600 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 131961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247119600).

131961600 is an abundant number, since it is smaller than the sum of its proper divisors (362277600).

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

131961600 is a wasteful number, since it uses less digits than its factorization.

131961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 131961600 is about 11487.4540260233. The cubic root of 131961600 is about 509.1149586660.

The spelling of 131961600 in words is "one hundred thirty-one million, nine hundred sixty-one thousand, six hundred".