131537952 has 288 divisors, whose sum is σ = 482630400. Its totient is φ = 34546176.

The previous prime is 131537941. The next prime is 131538019. The reversal of 131537952 is 259735131.

131537952 is a `hidden beast` number, since 1 + 31 + 537 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 550249 + ... + 550487.

It is an arithmetic number, because the mean of its divisors is an integer number (1675800).

Almost surely, 2^131537952 is an apocalyptic number.

131537952 is a gapful number since it is divisible by the number (12) 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 131537952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241315200).

131537952 is an abundant number, since it is smaller than the sum of its proper divisors (351092448).

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

131537952 is a wasteful number, since it uses less digits than its factorization.

131537952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 264 counting only the distinct ones).

The product of its digits is 28350, while the sum is 36.

The square root of 131537952 is about 11468.9996076380. Note that the first 3 decimals coincide. The cubic root of 131537952 is about 508.5695556649.

The spelling of 131537952 in words is "one hundred thirty-one million, five hundred thirty-seven thousand, nine hundred fifty-two".