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134511757464 = 23375359256049
BaseRepresentation
bin111110101000110000…
…1101000100010011000
3110212012100121021100010
41331101201220202120
54200440002214324
6141443245441520
712501220034130
oct1752141504230
9425170537303
10134511757464
1152056420307
122209b8702a0
13c8b8836ac6
146720795ac0
153773ec5829
hex1f51868898

134511757464 has 128 divisors (see below), whose sum is σ = 398208960000. Its totient is φ = 37067556864.

The previous prime is 134511757459. The next prime is 134511757487. The reversal of 134511757464 is 464757115431.

It is a super-2 number, since 2×1345117574642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397312 + ... + 653360.

It is an arithmetic number, because the mean of its divisors is an integer number (3111007500).

Almost surely, 2134511757464 is an apocalyptic number.

134511757464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134511757464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199104480000).

134511757464 is an abundant number, since it is smaller than the sum of its proper divisors (263697202536).

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

134511757464 is a wasteful number, since it uses less digits than its factorization.

134511757464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256177 (or 256173 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 48.

The spelling of 134511757464 in words is "one hundred thirty-four billion, five hundred eleven million, seven hundred fifty-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 59 84 106 118 159 168 177 212 236 318 354 371 413 424 472 636 708 742 826 1113 1239 1272 1416 1484 1652 2226 2478 2968 3127 3304 4452 4956 6254 8904 9381 9912 12508 18762 21889 25016 37524 43778 65667 75048 87556 131334 175112 256049 262668 512098 525336 768147 1024196 1536294 1792343 2048392 3072588 3584686 5377029 6145176 7169372 10754058 13570597 14338744 15106891 21508116 27141194 30213782 40711791 43016232 45320673 54282388 60427564 81423582 90641346 94994179 105748237 108564776 120855128 162847164 181282692 189988358 211496474 284982537 317244711 325694328 362565384 379976716 422992948 569965074 634489422 759953432 800665223 845985896 1139930148 1268978844 1601330446 2279860296 2401995669 2537957688 3202660892 4803991338 5604656561 6405321784 9607982676 11209313122 16813969683 19215965352 22418626244 33627939366 44837252488 67255878732 134511757464