131516352 has 336 divisors, whose sum is σ = 462137760. Its totient is φ = 36495360.

The previous prime is 131516339. The next prime is 131516381. The reversal of 131516352 is 253615131.

131516352 is a `hidden beast` number, since 13 + 15 + 1 + 635 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3554478 + ... + 3554514.

It is an arithmetic number, because the mean of its divisors is an integer number (1375410).

Almost surely, 2^131516352 is an apocalyptic number.

131516352 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 131516352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231068880).

131516352 is an abundant number, since it is smaller than the sum of its proper divisors (330621408).

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

131516352 is a wasteful number, since it uses less digits than its factorization.

131516352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 131516352 is about 11468.0579000980. The cubic root of 131516352 is about 508.5417165417.

It can be divided in two parts, 13151 and 6352, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 131516352 in words is "one hundred thirty-one million, five hundred sixteen thousand, three hundred fifty-two".