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135001332 = 22323750037
BaseRepresentation
bin10000000101111…
…11010011110100
3100102000210000100
420002333103310
5234030020312
621221314100
73226330614
oct1002772364
9312023010
10135001332
116a228554
1239265930
1321c7a05b
1413d02a44
15bcba5dc
hex80bf4f4

135001332 has 18 divisors (see below), whose sum is σ = 341253458. Its totient is φ = 45000432.

The previous prime is 135001331. The next prime is 135001367. The reversal of 135001332 is 233100531.

135001332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 87721956 + 47279376 = 9366^2 + 6876^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135001331) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1874983 + ... + 1875054.

Almost surely, 2135001332 is an apocalyptic number.

135001332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135001332 is an abundant number, since it is smaller than the sum of its proper divisors (206252126).

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

135001332 is a wasteful number, since it uses less digits than its factorization.

135001332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750047 (or 3750042 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 135001332 is about 11619.0073586344. The cubic root of 135001332 is about 512.9944711737.

Adding to 135001332 its reverse (233100531), we get a palindrome (368101863).

The spelling of 135001332 in words is "one hundred thirty-five million, one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3750037 7500074 11250111 15000148 22500222 33750333 45000444 67500666 135001332