131421024 has 288 divisors, whose sum is σ = 465454080. Its totient is φ = 34338816.

The previous prime is 131421013. The next prime is 131421053. The reversal of 131421024 is 420124131.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131420988 and 131421006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1800252 + ... + 1800324.

It is an arithmetic number, because the mean of its divisors is an integer number (1616160).

Almost surely, 2^131421024 is an apocalyptic number.

131421024 is a gapful number since it is divisible by the number (14) 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 131421024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232727040).

131421024 is an abundant number, since it is smaller than the sum of its proper divisors (334033056).

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

131421024 is a wasteful number, since it uses less digits than its factorization.

131421024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 131421024 is about 11463.9009067594. The cubic root of 131421024 is about 508.4188167864.

Adding to 131421024 its reverse (420124131), we get a palindrome (551545155).

It can be divided in two parts, 1314 and 21024, that multiplied together give a square (27625536 = 5256²).

The spelling of 131421024 in words is "one hundred thirty-one million, four hundred twenty-one thousand, twenty-four".