131201376 has 72 divisors (see below), whose sum is σ = 365931720. Its totient is φ = 41152512.

The previous prime is 131201363. The next prime is 131201377. The reversal of 131201376 is 673102131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25380 + ... + 30108.

It is an arithmetic number, because the mean of its divisors is an integer number (5082385).

Almost surely, 2^131201376 is an apocalyptic number.

131201376 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 131201376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182965860).

131201376 is an abundant number, since it is smaller than the sum of its proper divisors (234730344).

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

131201376 is a wasteful number, since it uses less digits than its factorization.

131201376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4776 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 131201376 is about 11454.3169154690. The cubic root of 131201376 is about 508.1354135049.

The spelling of 131201376 in words is "one hundred thirty-one million, two hundred one thousand, three hundred seventy-six".