131426064 has 240 divisors, whose sum is σ = 476636160. Its totient is φ = 34058880.

The previous prime is 131426051. The next prime is 131426083. The reversal of 131426064 is 460624131.

131426064 is a `hidden beast` number, since 13 + 1 + 42 + 606 + 4 = 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, 299157 + ... + 299595.

It is an arithmetic number, because the mean of its divisors is an integer number (1985984).

Almost surely, 2^131426064 is an apocalyptic number.

131426064 is a gapful number since it is divisible by the number (14) 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 131426064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238318080).

131426064 is an abundant number, since it is smaller than the sum of its proper divisors (345210096).

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

131426064 is a wasteful number, since it uses less digits than its factorization.

131426064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 131426064 is about 11464.1207251145. The cubic root of 131426064 is about 508.4253159953.

The spelling of 131426064 in words is "one hundred thirty-one million, four hundred twenty-six thousand, sixty-four".