131949100 has 72 divisors (see below), whose sum is σ = 295342208. Its totient is φ = 51148800.

The previous prime is 131949089. The next prime is 131949109. The reversal of 131949100 is 1949131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131949109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591589 + ... + 591811.

Almost surely, 2^131949100 is an apocalyptic number.

131949100 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 131949100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147671104).

131949100 is an abundant number, since it is smaller than the sum of its proper divisors (163393108).

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

131949100 is a wasteful number, since it uses less digits than its factorization.

131949100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 131949100 is about 11486.9099413202. The cubic root of 131949100 is about 509.0988829340.

The spelling of 131949100 in words is "one hundred thirty-one million, nine hundred forty-nine thousand, one hundred".