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152136523 = 7211299733
BaseRepresentation
bin10010001000101…
…10101101001011
3101121021100002001
421010112231023
5302421332043
623032451431
73525065500
oct1104265513
9347240061
10152136523
1178971470
1242b49b77
1325699516
14162c34a7
15d55274d
hex9116b4b

152136523 has 24 divisors (see below), whose sum is σ = 199741680. Its totient is φ = 114448320.

The previous prime is 152136503. The next prime is 152136557. The reversal of 152136523 is 325631251.

It is not a de Polignac number, because 152136523 - 225 = 118582091 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 152136491 and 152136500.

It is not an unprimeable number, because it can be changed into a prime (152136503) 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 23 ways as a sum of consecutive naturals, for example, 10765 + ... + 20497.

It is an arithmetic number, because the mean of its divisors is an integer number (8322570).

Almost surely, 2152136523 is an apocalyptic number.

152136523 is a deficient number, since it is larger than the sum of its proper divisors (47605157).

152136523 is a wasteful number, since it uses less digits than its factorization.

152136523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9787 (or 9780 counting only the distinct ones).

The product of its digits is 5400, while the sum is 28.

The square root of 152136523 is about 12334.3635020215. The cubic root of 152136523 is about 533.8400618429.

Adding to 152136523 its reverse (325631251), we get a palindrome (477767774).

It can be divided in two parts, 15213 and 6523, that added together give a triangular number (21736 = T208).

The spelling of 152136523 in words is "one hundred fifty-two million, one hundred thirty-six thousand, five hundred twenty-three".

Divisors: 1 7 11 29 49 77 203 319 539 1421 2233 9733 15631 68131 107063 282257 476917 749441 1975799 3104827 5246087 13830593 21733789 152136523