131214438432 has 768 divisors, whose sum is σ = 515231539200. Its totient is φ = 31465082880.

The previous prime is 131214438427. The next prime is 131214438449. The reversal of 131214438432 is 234834412131.

131214438432 is a `hidden beast` number, since 1 + 3 + 1 + 214 + 4 + 3 + 8 + 432 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44372698 + ... + 44375654.

It is an arithmetic number, because the mean of its divisors is an integer number (670874400).

Almost surely, 2^131214438432 is an apocalyptic number.

131214438432 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 131214438432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257615769600).

131214438432 is an abundant number, since it is smaller than the sum of its proper divisors (384017100768).

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

131214438432 is a wasteful number, since it uses less digits than its factorization.

131214438432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046 (or 3032 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 131214438432 in words is "one hundred thirty-one billion, two hundred fourteen million, four hundred thirty-eight thousand, four hundred thirty-two".