131553440 has 48 divisors (see below), whose sum is σ = 312834312. Its totient is φ = 52276224.

The previous prime is 131553439. The next prime is 131553467. The reversal of 131553440 is 44355131.

It can be written as a sum of positive squares in 4 ways, for example, as 114147856 + 17405584 = 10684^2 + 4172^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22502 + ... + 27738.

Almost surely, 2^131553440 is an apocalyptic number.

131553440 is a gapful number since it is divisible by the number (10) 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 131553440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156417156).

131553440 is an abundant number, since it is smaller than the sum of its proper divisors (181280872).

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

131553440 is a wasteful number, since it uses less digits than its factorization.

131553440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5409 (or 5401 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 131553440 is about 11469.6747992260. The cubic root of 131553440 is about 508.5895154712.

The spelling of 131553440 in words is "one hundred thirty-one million, five hundred fifty-three thousand, four hundred forty".