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152137405 = 5726131013
BaseRepresentation
bin10010001000101…
…10111010111101
3101121021101021201
421010112322331
5302421344110
623032455501
73525101200
oct1104267275
9347241251
10152137405
11789720a2
1242b4a591
1325699a44
14162c3937
15d552b3a
hex9116ebd

152137405 has 24 divisors (see below), whose sum is σ = 212927832. Its totient is φ = 104049792.

The previous prime is 152137361. The next prime is 152137409. The reversal of 152137405 is 504731251.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24492601 + 127644804 = 4949^2 + 11298^2 .

It is not a de Polignac number, because 152137405 - 223 = 143748797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152137409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149679 + ... + 150691.

It is an arithmetic number, because the mean of its divisors is an integer number (8871993).

Almost surely, 2152137405 is an apocalyptic number.

It is an amenable number.

152137405 is a deficient number, since it is larger than the sum of its proper divisors (60790427).

152137405 is a wasteful number, since it uses less digits than its factorization.

152137405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 152137405 is about 12334.3992557400. The cubic root of 152137405 is about 533.8410934733.

Adding to 152137405 its reverse (504731251), we get a palindrome (656868656).

The spelling of 152137405 in words is "one hundred fifty-two million, one hundred thirty-seven thousand, four hundred five".

Divisors: 1 5 7 35 49 245 613 1013 3065 4291 5065 7091 21455 30037 35455 49637 150185 248185 620969 3104845 4346783 21733915 30427481 152137405