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135042253532 = 221937437315299
BaseRepresentation
bin111110111000100100…
…1010100001011011100
3110220120022211021010122
41331301021110023130
54203031304103112
6142012040054112
712520321133654
oct1756111241334
9426508737118
10135042253532
11522a891690a
1222209464338
13c9717088c4
146771009364
1537a5864872
hex1f712542dc

135042253532 has 96 divisors (see below), whose sum is σ = 265025376000. Its totient is φ = 59954452992.

The previous prime is 135042253523. The next prime is 135042253559. The reversal of 135042253532 is 235352240531.

It is a junction number, because it is equal to n+sod(n) for n = 135042253492 and 135042253501.

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, 8819219 + ... + 8834517.

It is an arithmetic number, because the mean of its divisors is an integer number (2760681000).

Almost surely, 2135042253532 is an apocalyptic number.

It is an amenable number.

135042253532 is a deficient number, since it is larger than the sum of its proper divisors (129983122468).

135042253532 is a wasteful number, since it uses less digits than its factorization.

135042253532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15475 (or 15473 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

The spelling of 135042253532 in words is "one hundred thirty-five billion, forty-two million, two hundred fifty-three thousand, five hundred thirty-two".

Divisors: 1 2 4 19 37 38 43 73 74 76 86 146 148 172 292 703 817 1387 1406 1591 1634 2701 2774 2812 3139 3182 3268 5402 5548 6278 6364 10804 12556 15299 30229 30598 51319 59641 60458 61196 102638 116143 119282 120916 205276 232286 238564 290681 464572 566063 581362 657857 1116827 1132126 1162724 1315714 2206717 2233654 2264252 2631428 4413434 4467308 8826868 10755197 12499283 21219713 21510394 24340709 24998566 41322599 42439426 43020788 48023561 48681418 49997132 82645198 84878852 96047122 97362836 165290396 192094244 462473471 785129381 912447659 924946942 1570258762 1776871757 1824895318 1849893884 3140517524 3553743514 3649790636 7107487028 33760563383 67521126766 135042253532