131429952 has 126 divisors (see below), whose sum is σ = 392439398. Its totient is φ = 43670016.

The previous prime is 131429951. The next prime is 131429953. The reversal of 131429952 is 259924131.

131429952 is a `hidden beast` number, since 1 + 314 + 299 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (131429951) and next prime (131429953).

It can be written as a sum of positive squares in only one way, i.e., 70963776 + 60466176 = 8424^2 + 7776^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131429951) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 419748 + ... + 420060.

Almost surely, 2^131429952 is an apocalyptic number.

131429952 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 131429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196219699).

131429952 is an abundant number, since it is smaller than the sum of its proper divisors (261009446).

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

131429952 is an frugal number, since it uses more digits than its factorization.

131429952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 318 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 131429952 is about 11464.2902963943. The cubic root of 131429952 is about 508.4303295573.

The spelling of 131429952 in words is "one hundred thirty-one million, four hundred twenty-nine thousand, nine hundred fifty-two".