131553464 has 32 divisors (see below), whose sum is σ = 282268800. Its totient is φ = 56306400.

The previous prime is 131553439. The next prime is 131553467. The reversal of 131553464 is 464355131.

It is a self number, because there is not a number n which added to its sum of digits gives 131553464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131553467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80447 + ... + 82065.

It is an arithmetic number, because the mean of its divisors is an integer number (8820900).

Almost surely, 2^131553464 is an apocalyptic number.

131553464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131553464 is an abundant number, since it is smaller than the sum of its proper divisors (150715336).

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

131553464 is a wasteful number, since it uses less digits than its factorization.

131553464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083 (or 3079 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

The square root of 131553464 is about 11469.6758454631. The cubic root of 131553464 is about 508.5895463995.

The spelling of 131553464 in words is "one hundred thirty-one million, five hundred fifty-three thousand, four hundred sixty-four".