131451040 has 96 divisors (see below), whose sum is σ = 357122304. Its totient is φ = 44789760.

The previous prime is 131451037. The next prime is 131451041. The reversal of 131451040 is 40154131.

It is a junction number, because it is equal to n+sod(n) for n = 131450999 and 131451017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131451041) 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 15 ways as a sum of consecutive naturals, for example, 269677 + ... + 270163.

It is an arithmetic number, because the mean of its divisors is an integer number (3720024).

Almost surely, 2^131451040 is an apocalyptic number.

131451040 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 131451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178561152).

131451040 is an abundant number, since it is smaller than the sum of its proper divisors (225671264).

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

131451040 is a wasteful number, since it uses less digits than its factorization.

131451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 131451040 is about 11465.2099849937. The cubic root of 131451040 is about 508.4575207346.

The spelling of 131451040 in words is "one hundred thirty-one million, four hundred fifty-one thousand, forty".