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134446888900 = 22523729912
BaseRepresentation
bin111110100110110101…
…0001011011111000100
3110212000211112121101201
41331031222023133010
54200321400421100
6141433011232244
712466501462012
oct1751552133704
9425024477351
10134446888900
1152022844625
1222081ba8684
13c8a8273b3c
146715d0b8b2
15376d46036a
hex1f4da8b7c4

134446888900 has 81 divisors (see below), whose sum is σ = 300150865287. Its totient is φ = 52272475200.

The previous prime is 134446888867. The next prime is 134446888913. The reversal of 134446888900 is 9888644431.

It is a happy number.

The square root of 134446888900 is 366670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12763124676 + 121683764224 = 112974^2 + 348832^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 135667405 + ... + 135668395.

Almost surely, 2134446888900 is an apocalyptic number.

134446888900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134446888900 is the 366670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134446888900

134446888900 is an abundant number, since it is smaller than the sum of its proper divisors (165703976387).

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

134446888900 is an frugal number, since it uses more digits than its factorization.

134446888900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 55.

The spelling of 134446888900 in words is "one hundred thirty-four billion, four hundred forty-six million, eight hundred eighty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 991 1369 1850 1982 2738 3700 3964 4955 5476 6845 9910 13690 19820 24775 27380 34225 36667 49550 68450 73334 99100 136900 146668 183335 366670 733340 916675 982081 1356679 1833350 1964162 2713358 3666700 3928324 4910405 5426716 6783395 9820810 13566790 19641620 24552025 27133580 33916975 36336997 49104050 67833950 72673994 98208100 135667900 145347988 181684985 363369970 726739940 908424925 1344468889 1816849850 2688937778 3633699700 5377875556 6722344445 13444688890 26889377780 33611722225 67223444450 134446888900