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135240407372 = 22747451722751
BaseRepresentation
bin111110111110011110…
…1001101100101001100
3110221002010200112002202
41331330331031211030
54203433021013442
6142043435141032
712525245331650
oct1757475154514
9427063615082
10135240407372
115239a758814
12222638a4778
13c9a37977b5
14678d46aa60
1537b7e56c32
hex1f7cf4d94c

135240407372 has 48 divisors (see below), whose sum is σ = 276309024768. Its totient is φ = 56711928000.

The previous prime is 135240407339. The next prime is 135240407431. The reversal of 135240407372 is 273704042531.

It is a super-2 number, since 2×1352404073722 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5932997 + ... + 5955747.

It is an arithmetic number, because the mean of its divisors is an integer number (5756438016).

Almost surely, 2135240407372 is an apocalyptic number.

It is an amenable number.

135240407372 is an abundant number, since it is smaller than the sum of its proper divisors (141068617396).

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

135240407372 is a wasteful number, since it uses less digits than its factorization.

135240407372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27326 (or 27324 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

The spelling of 135240407372 in words is "one hundred thirty-five billion, two hundred forty million, four hundred seven thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 28 47 94 188 329 658 1316 4517 9034 18068 22751 31619 45502 63238 91004 126476 159257 212299 318514 424598 637028 849196 1069297 1486093 2138594 2972186 4277188 5944372 7485079 14970158 29940316 102766267 205532534 411065068 719363869 1438727738 2877455476 4830014549 9660029098 19320058196 33810101843 67620203686 135240407372