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135064402304 = 2713673120607
BaseRepresentation
bin111110111001001110…
…1110011100110000000
3110220121212111112112112
41331302131303212000
54203102441333204
6142014150514452
712521010322436
oct1756235634600
9426555445475
10135064402304
115230a374587
1222214965a28
13c9761920a0
146773d32d56
1537a778c26e
hex1f72773980

135064402304 has 64 divisors (see below), whose sum is σ = 290204557440. Its totient is φ = 62244274176.

The previous prime is 135064402283. The next prime is 135064402327. The reversal of 135064402304 is 403204460531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1059569 + ... + 1180175.

It is an arithmetic number, because the mean of its divisors is an integer number (4534446210).

Almost surely, 2135064402304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135064402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145102278720).

135064402304 is an abundant number, since it is smaller than the sum of its proper divisors (155140155136).

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

135064402304 is a wasteful number, since it uses less digits than its factorization.

135064402304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121307 (or 121295 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 135064402304 its reverse (403204460531), we get a palindrome (538268862835).

The spelling of 135064402304 in words is "one hundred thirty-five billion, sixty-four million, four hundred two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 673 832 1346 1664 2692 5384 8749 10768 17498 21536 34996 43072 69992 86144 120607 139984 241214 279968 482428 559936 964856 1119872 1567891 1929712 3135782 3859424 6271564 7718848 12543128 15437696 25086256 50172512 81168511 100345024 162337022 200690048 324674044 649348088 1055190643 1298696176 2110381286 2597392352 4220762572 5194784704 8441525144 10389569408 16883050288 33766100576 67532201152 135064402304