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134154503040 = 2735233037919
BaseRepresentation
bin111110011110000111…
…0110100001110000000
3110211021110100212101210
41330330032310032000
54144222023044130
6141344004330120
712456321314055
oct1747416641600
9424243325353
10134154503040
11519927a0818
12220000a3940
13c85c81095c
1466c915b02c
1537529575b0
hex1f3c3b4380

134154503040 has 128 divisors (see below), whose sum is σ = 446209689600. Its totient is φ = 34219108352.

The previous prime is 134154503039. The next prime is 134154503047. The reversal of 134154503040 is 40305451431.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 134154502989 and 134154503007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134154503047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1474800 + ... + 1563119.

It is an arithmetic number, because the mean of its divisors is an integer number (3486013200).

Almost surely, 2134154503040 is an apocalyptic number.

134154503040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134154503040 is an abundant number, since it is smaller than the sum of its proper divisors (312055186560).

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

134154503040 is a wasteful number, since it uses less digits than its factorization.

134154503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037964 (or 3037952 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 134154503040 its reverse (40305451431), we get a palindrome (174459954471).

The spelling of 134154503040 in words is "one hundred thirty-four billion, one hundred fifty-four million, five hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 276 320 345 368 384 460 480 552 640 690 736 920 960 1104 1380 1472 1840 1920 2208 2760 2944 3680 4416 5520 7360 8832 11040 14720 22080 44160 3037919 6075838 9113757 12151676 15189595 18227514 24303352 30379190 36455028 45568785 48606704 60758380 69872137 72910056 91137570 97213408 121516760 139744274 145820112 182275140 194426816 209616411 243033520 279488548 291640224 349360685 364550280 388853632 419232822 486067040 558977096 583280448 698721370 729100560 838465644 972134080 1048082055 1117954192 1166560896 1397442740 1458201120 1676931288 1944268160 2096164110 2235908384 2794885480 2916402240 3353862576 4192328220 4471816768 5589770960 5832804480 6707725152 8384656440 8943633536 11179541920 13415450304 16769312880 22359083840 26830900608 33538625760 44718167680 67077251520 134154503040