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152410020135 = 35731391001347
BaseRepresentation
bin1000110111110001011…
…0000101100100100111
3112120101201100012222120
42031330112011210213
54444113431121020
6154003255401023
714003601540012
oct2157426054447
9476351305876
10152410020135
1159700534a2a
1225655983173
13114ab965b89
14753b89c379
153e70484740
hex237c585927

152410020135 has 32 divisors (see below), whose sum is σ = 248975166720. Its totient is φ = 79594990848.

The previous prime is 152410020101. The next prime is 152410020157. The reversal of 152410020135 is 531020014251.

It is a happy number.

152410020135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 152410020135 - 226 = 152342911271 is a prime.

It is a super-2 number, since 2×1524100201352 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348469 + ... + 652878.

It is an arithmetic number, because the mean of its divisors is an integer number (7780473960).

Almost surely, 2152410020135 is an apocalyptic number.

152410020135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

152410020135 is a deficient number, since it is larger than the sum of its proper divisors (96565146585).

152410020135 is a wasteful number, since it uses less digits than its factorization.

152410020135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001567.

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 152410020135 its reverse (531020014251), we get a palindrome (683430034386).

The spelling of 152410020135 in words is "one hundred fifty-two billion, four hundred ten million, twenty thousand, one hundred thirty-five".

Divisors: 1 3 5 15 73 139 219 365 417 695 1095 2085 10147 30441 50735 152205 1001347 3004041 5006735 15020205 73098331 139187233 219294993 365491655 417561699 695936165 1096474965 2087808495 10160668009 30482004027 50803340045 152410020135