132146520 has 192 divisors, whose sum is σ = 459648000. Its totient is φ = 30286080.

The previous prime is 132146513. The next prime is 132146527. The reversal of 132146520 is 25641231.

It is an interprime number because it is at equal distance from previous prime (132146513) and next prime (132146527).

It is a super-2 number, since 2×132146520² = 34925405496220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132146527) 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, 275641 + ... + 276119.

It is an arithmetic number, because the mean of its divisors is an integer number (2394000).

Almost surely, 2^132146520 is an apocalyptic number.

132146520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 11495×11496.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132146520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824000).

132146520 is an abundant number, since it is smaller than the sum of its proper divisors (327501480).

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

132146520 is a wasteful number, since it uses less digits than its factorization.

132146520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 132146520 is about 11495.4999891262. The cubic root of 132146520 is about 509.3526581090.

Adding to 132146520 its reverse (25641231), we get a palindrome (157787751).

The spelling of 132146520 in words is "one hundred thirty-two million, one hundred forty-six thousand, five hundred twenty".