131154408 has 192 divisors, whose sum is σ = 454446720. Its totient is φ = 33177600.

The previous prime is 131154407. The next prime is 131154409. The reversal of 131154408 is 804451131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131154407) and next prime (131154409).

It is not an unprimeable number, because it can be changed into a prime (131154407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227016 + ... + 227592.

It is an arithmetic number, because the mean of its divisors is an integer number (2366910).

Almost surely, 2^131154408 is an apocalyptic number.

131154408 is a gapful number since it is divisible by the number (18) 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 131154408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227223360).

131154408 is an abundant number, since it is smaller than the sum of its proper divisors (323292312).

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

131154408 is a wasteful number, since it uses less digits than its factorization.

131154408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 131154408 is about 11452.2665005666. The cubic root of 131154408 is about 508.0747714769.

The spelling of 131154408 in words is "one hundred thirty-one million, one hundred fifty-four thousand, four hundred eight".