131264430 has 48 divisors (see below), whose sum is σ = 346287312. Its totient is φ = 31820800.

The previous prime is 131264363. The next prime is 131264461. The reversal of 131264430 is 34462131.

It is a self number, because there is not a number n which added to its sum of digits gives 131264430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14451 + ... + 21710.

It is an arithmetic number, because the mean of its divisors is an integer number (7214319).

Almost surely, 2^131264430 is an apocalyptic number.

131264430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131264430 is an abundant number, since it is smaller than the sum of its proper divisors (215022882).

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

131264430 is a wasteful number, since it uses less digits than its factorization.

131264430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36193 (or 36182 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 131264430 is about 11457.0689969119. The cubic root of 131264430 is about 508.2168019782.

The spelling of 131264430 in words is "one hundred thirty-one million, two hundred sixty-four thousand, four hundred thirty".