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132425440 = 2557319127
BaseRepresentation
bin1111110010010…
…10011011100000
3100020011220112221
413321022123200
5232400103230
621050200424
73165412000
oct771123340
9306156487
10132425440
1168829214
1238423114
1321587764
1413832000
15b95c27a
hex7e4a6e0

132425440 has 192 divisors, whose sum is σ = 387072000. Its totient is φ = 42674688.

The previous prime is 132425417. The next prime is 132425473. The reversal of 132425440 is 44524231.

It is a happy number.

132425440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042657 + ... + 1042783.

It is an arithmetic number, because the mean of its divisors is an integer number (2016000).

Almost surely, 2132425440 is an apocalyptic number.

132425440 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 132425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536000).

132425440 is an abundant number, since it is smaller than the sum of its proper divisors (254646560).

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

132425440 is a wasteful number, since it uses less digits than its factorization.

132425440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 132425440 is about 11507.6252980361. The cubic root of 132425440 is about 509.7107676939.

Adding to 132425440 its reverse (44524231), we get a palindrome (176949671).

The spelling of 132425440 in words is "one hundred thirty-two million, four hundred twenty-five thousand, four hundred forty".