131764024 has 64 divisors (see below), whose sum is σ = 289013760. Its totient is φ = 55157760.

The previous prime is 131764019. The next prime is 131764091. The reversal of 131764024 is 420467131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 131763983 and 131764001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689769 + ... + 689959.

It is an arithmetic number, because the mean of its divisors is an integer number (4515840).

Almost surely, 2^131764024 is an apocalyptic number.

131764024 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 131764024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144506880).

131764024 is an abundant number, since it is smaller than the sum of its proper divisors (157249736).

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

131764024 is a wasteful number, since it uses less digits than its factorization.

131764024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 131764024 is about 11478.8511620284. The cubic root of 131764024 is about 508.8607454701.

It can be divided in two parts, 1317 and 64024, that added together give a triangular number (65341 = T₃₆₁).

The spelling of 131764024 in words is "one hundred thirty-one million, seven hundred sixty-four thousand, twenty-four".