132355125 has 84 divisors (see below), whose sum is σ = 278357196. Its totient is φ = 60505200.

The previous prime is 132355117. The next prime is 132355127. The reversal of 132355125 is 521553231.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4235364 + 128119761 = 2058^2 + 11319^2 .

It is not a de Polignac number, because 132355125 - 2³ = 132355117 is a prime.

It is a super-2 number, since 2×132355125² = 35035758227531250, which contains 22 as substring.

Its product of digits (4500) is a multiple of the sum of its prime divisors (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132355127) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 18907872 + ... + 18907878.

Almost surely, 2^132355125 is an apocalyptic number.

132355125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132355125 is an abundant number, since it is smaller than the sum of its proper divisors (146002071).

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

132355125 is an frugal number, since it uses more digits than its factorization.

132355125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 15 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 132355125 is about 11504.5697442364. The cubic root of 132355125 is about 509.6205366477.

Multiplying 132355125 by its product of digits (4500), we get a square (595598062500 = 771750²).

The spelling of 132355125 in words is "one hundred thirty-two million, three hundred fifty-five thousand, one hundred twenty-five".