131426464 has 48 divisors (see below), whose sum is σ = 281608488. Its totient is φ = 60014592.

The previous prime is 131426441. The next prime is 131426483. The reversal of 131426464 is 464624131.

It can be written as a sum of positive squares in 4 ways, for example, as 110082064 + 21344400 = 10492^2 + 4620^2 .

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 7 ways as a sum of consecutive naturals, for example, 38724 + ... + 41980.

Almost surely, 2^131426464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131426464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140804244).

131426464 is an abundant number, since it is smaller than the sum of its proper divisors (150182024).

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

131426464 is a wasteful number, since it uses less digits than its factorization.

131426464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3369 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 131426464 is about 11464.1381708352. The cubic root of 131426464 is about 508.4258317985.

The spelling of 131426464 in words is "one hundred thirty-one million, four hundred twenty-six thousand, four hundred sixty-four".