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152135631 = 3331181763
BaseRepresentation
bin10010001000101…
…10011111001111
3101121021021212000
421010112133033
5302421320011
623032443343
73525063054
oct1104263717
9347237760
10152135631
117897082a
1242b49553
1325698cab
14162c302b
15d552356
hex91167cf

152135631 has 16 divisors (see below), whose sum is σ = 232657920. Its totient is φ = 98151480.

The previous prime is 152135609. The next prime is 152135651. The reversal of 152135631 is 136531251.

152135631 is a `hidden beast` number, since 1 + 5 + 21 + 3 + 5 + 631 = 666.

It is not a de Polignac number, because 152135631 - 210 = 152134607 is a prime.

It is a super-3 number, since 3×1521356313 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 152135595 and 152135604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152135651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90045 + ... + 91718.

It is an arithmetic number, because the mean of its divisors is an integer number (14541120).

Almost surely, 2152135631 is an apocalyptic number.

152135631 is a deficient number, since it is larger than the sum of its proper divisors (80522289).

152135631 is a wasteful number, since it uses less digits than its factorization.

152135631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181803 (or 181797 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 152135631 is about 12334.3273428266. The cubic root of 152135631 is about 533.8390185118.

Adding to 152135631 its reverse (136531251), we get a palindrome (288666882).

The spelling of 152135631 in words is "one hundred fifty-two million, one hundred thirty-five thousand, six hundred thirty-one".

Divisors: 1 3 9 27 31 93 279 837 181763 545289 1635867 4907601 5634653 16903959 50711877 152135631