131940900 has 360 divisors, whose sum is σ = 529341120. Its totient is φ = 27682560.

The previous prime is 131940877. The next prime is 131940901. The reversal of 131940900 is 9049131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131940901) 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 119 ways as a sum of consecutive naturals, for example, 737011 + ... + 737189.

It is an arithmetic number, because the mean of its divisors is an integer number (1470392).

Almost surely, 2^131940900 is an apocalyptic number.

131940900 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 131940900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264670560).

131940900 is an abundant number, since it is smaller than the sum of its proper divisors (397400220).

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

131940900 is a wasteful number, since it uses less digits than its factorization.

131940900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

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

The square root of 131940900 is about 11486.5530077565. The cubic root of 131940900 is about 509.0883367024.

The spelling of 131940900 in words is "one hundred thirty-one million, nine hundred forty thousand, nine hundred".