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135203601460 = 22522929520437
BaseRepresentation
bin111110111101011000…
…0110011110000110100
3110220222120102120212211
41331322300303300310
54203344110221320
6142040042223204
712524320436044
oct1757260636064
9426876376784
10135203601460
11523809a9a04
12222534b4b04
13c998c7ba55
146788609724
1537b4ad655a
hex1f7ac33c34

135203601460 has 24 divisors (see below), whose sum is σ = 285167431080. Its totient is φ = 53845275264.

The previous prime is 135203601457. The next prime is 135203601473. The reversal of 135203601460 is 64106302531.

It can be written as a sum of positive squares in 4 ways, for example, as 85953339684 + 49250261776 = 293178^2 + 221924^2 .

It is a super-3 number, since 3×1352036014603 (a number of 34 digits) contains 333 as substring.

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, 14755639 + ... + 14764798.

It is an arithmetic number, because the mean of its divisors is an integer number (11881976295).

Almost surely, 2135203601460 is an apocalyptic number.

135203601460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135203601460 is an abundant number, since it is smaller than the sum of its proper divisors (149963829620).

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

135203601460 is a wasteful number, since it uses less digits than its factorization.

135203601460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29520675 (or 29520673 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 135203601460 its reverse (64106302531), we get a palindrome (199309903991).

The spelling of 135203601460 in words is "one hundred thirty-five billion, two hundred three million, six hundred one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 229 458 916 1145 2290 4580 29520437 59040874 118081748 147602185 295204370 590408740 6760180073 13520360146 27040720292 33800900365 67601800730 135203601460