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135354052040 = 23515734961757
BaseRepresentation
bin111111000001110111…
…0101110110111001000
3110221101001112021021112
41332003232232313020
54204201114131130
6142103015025452
712531125313344
oct1760356566710
9427331467245
10135354052040
1152448919729
122229596b288
13c9c11a7a6c
1467a05b0624
1537c2e04495
hex1f83baedc8

135354052040 has 64 divisors (see below), whose sum is σ = 307369566000. Its totient is φ = 53641755648.

The previous prime is 135354052021. The next prime is 135354052091. The reversal of 135354052040 is 40250453531.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 34434740356 + 100919311684 = 185566^2 + 317678^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135354051988 and 135354052006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2160842 + ... + 2222598.

Almost surely, 2135354052040 is an apocalyptic number.

135354052040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135354052040 is an abundant number, since it is smaller than the sum of its proper divisors (172015513960).

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

135354052040 is a wasteful number, since it uses less digits than its factorization.

135354052040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62274 (or 62270 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 135354052040 in words is "one hundred thirty-five billion, three hundred fifty-four million, fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 157 314 349 628 698 785 1256 1396 1570 1745 2792 3140 3490 6280 6980 13960 54793 61757 109586 123514 219172 247028 273965 308785 438344 494056 547930 617570 1095860 1235140 2191720 2470280 9695849 19391698 21553193 38783396 43106386 48479245 77566792 86212772 96958490 107765965 172425544 193916980 215531930 387833960 431063860 862127720 3383851301 6767702602 13535405204 16919256505 27070810408 33838513010 67677026020 135354052040