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135919488 = 2731747443
BaseRepresentation
bin10000001100111…
…11011110000000
3100110202102111010
420012133132000
5234243410423
621253120520
73240203505
oct1006373600
9313672433
10135919488
116a7a5361
1239629140
132220bc43
14140a14ac
15bdec693
hex819f780

135919488 has 128 divisors (see below), whose sum is σ = 391288320. Its totient is φ = 41639936.

The previous prime is 135919411. The next prime is 135919493. The reversal of 135919488 is 884919531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 306595 + ... + 307037.

It is an arithmetic number, because the mean of its divisors is an integer number (3056940).

Almost surely, 2135919488 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 135919488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195644160).

135919488 is an abundant number, since it is smaller than the sum of its proper divisors (255368832).

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

135919488 is a wasteful number, since it uses less digits than its factorization.

135919488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 512 counting only the distinct ones).

The product of its digits is 311040, while the sum is 48.

The square root of 135919488 is about 11658.4513551329. The cubic root of 135919488 is about 514.1548181862.

The spelling of 135919488 in words is "one hundred thirty-five million, nine hundred nineteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 47 48 51 64 68 94 96 102 128 136 141 188 192 204 272 282 376 384 408 443 544 564 752 799 816 886 1088 1128 1329 1504 1598 1632 1772 2176 2256 2397 2658 3008 3196 3264 3544 4512 4794 5316 6016 6392 6528 7088 7531 9024 9588 10632 12784 14176 15062 18048 19176 20821 21264 22593 25568 28352 30124 38352 41642 42528 45186 51136 56704 60248 62463 76704 83284 85056 90372 102272 120496 124926 153408 166568 170112 180744 240992 249852 306816 333136 353957 361488 481984 499704 666272 707914 722976 963968 999408 1061871 1332544 1415828 1445952 1998816 2123742 2665088 2831656 2891904 3997632 4247484 5663312 7995264 8494968 11326624 16989936 22653248 33979872 45306496 67959744 135919488