131991552 has 384 divisors, whose sum is σ = 503193600. Its totient is φ = 33177600.

The previous prime is 131991533. The next prime is 131991569. The reversal of 131991552 is 255199131.

131991552 is a `hidden beast` number, since 1 + 3 + 19 + 91 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

Its product of digits (12150) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4257777 + ... + 4257807.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 2^131991552 is an apocalyptic number.

131991552 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 131991552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251596800).

131991552 is an abundant number, since it is smaller than the sum of its proper divisors (371202048).

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

131991552 is a wasteful number, since it uses less digits than its factorization.

131991552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 54 counting only the distinct ones).

The product of its digits is 12150, while the sum is 36.

The square root of 131991552 is about 11488.7576351841. The cubic root of 131991552 is about 509.1534745617.

The spelling of 131991552 in words is "one hundred thirty-one million, nine hundred ninety-one thousand, five hundred fifty-two".