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132156315164440 = 23572359347816389
BaseRepresentation
bin11110000011001000001010…
…001110000101111100011000
3122022221000112211102020121201
4132003020022032011330120
5114310222113140230230
61145023434551243544
736556656455165110
oct3603101216057430
9568830484366551
10132156315164440
11391221a6669726
12129a49426795b4
1358983968419a8
14248c58500c040
151042a507955ca
hex78320a385f18

132156315164440 has 128 divisors (see below), whose sum is σ = 360616033152000. Its totient is φ = 42606116264448.

The previous prime is 132156315164437. The next prime is 132156315164537. The reversal of 132156315164440 is 44461513651231.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 173528235 + ... + 174288154.

It is an arithmetic number, because the mean of its divisors is an integer number (2817312759000).

Almost surely, 2132156315164440 is an apocalyptic number.

132156315164440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132156315164440 is an abundant number, since it is smaller than the sum of its proper divisors (228459717987560).

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

132156315164440 is a wasteful number, since it uses less digits than its factorization.

132156315164440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347816489 (or 347816485 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 132156315164440 in words is "one hundred thirty-two trillion, one hundred fifty-six billion, three hundred fifteen million, one hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 59 70 92 115 118 140 161 184 230 236 280 295 322 413 460 472 590 644 805 826 920 1180 1288 1357 1610 1652 2065 2360 2714 3220 3304 4130 5428 6440 6785 8260 9499 10856 13570 16520 18998 27140 37996 47495 54280 75992 94990 189980 379960 347816389 695632778 1391265556 1739081945 2434714723 2782531112 3478163890 4869429446 6956327780 7999776947 9738858892 12173573615 13912655560 15999553894 19477717784 20521166951 24347147230 31999107788 39998884735 41042333902 48694294460 55998438629 63998215576 79997769470 82084667804 97388588920 102605834755 111996877258 143648168657 159995538940 164169335608 205211669510 223993754516 279992193145 287296337314 319991077880 410423339020 447987509032 471986839873 559984386290 574592674628 718240843285 820846678040 943973679746 1119968772580 1149185349256 1436481686570 1887947359492 2239937545160 2359934199365 2872963373140 3303907879111 3775894718984 4719868398730 5745926746280 6607815758222 9439736797460 13215631516444 16519539395555 18879473594920 26431263032888 33039078791110 66078157582220 132156315164440