131949376 has 112 divisors (see below), whose sum is σ = 314919360. Its totient is φ = 54190080.

The previous prime is 131949371. The next prime is 131949397. The reversal of 131949376 is 673949131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131949371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268491 + ... + 268981.

It is an arithmetic number, because the mean of its divisors is an integer number (2811780).

Almost surely, 2^131949376 is an apocalyptic number.

131949376 is a gapful number since it is divisible by the number (16) 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 131949376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157459680).

131949376 is an abundant number, since it is smaller than the sum of its proper divisors (182969984).

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

131949376 is a wasteful number, since it uses less digits than its factorization.

131949376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 542 counting only the distinct ones).

The product of its digits is 122472, while the sum is 43.

The square root of 131949376 is about 11486.9219549886. The cubic root of 131949376 is about 509.0992378971.

The spelling of 131949376 in words is "one hundred thirty-one million, nine hundred forty-nine thousand, three hundred seventy-six".