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137229947520 = 273571473931
BaseRepresentation
bin111111111001110001…
…0101101001010000000
3111010012210100122002220
41333303202231022000
54222021331310040
6143013110011040
712625454210361
oct1776342551200
9433183318086
10137229947520
1153220800776
122271a046a80
13cc2ca1bba3
1468db7a1b68
1538829502d0
hex1ff38ad280

137229947520 has 64 divisors (see below), whose sum is σ = 437420463840. Its totient is φ = 36594652160.

The previous prime is 137229947509. The next prime is 137229947549. The reversal of 137229947520 is 25749922731.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35735046 + ... + 35738885.

Almost surely, 2137229947520 is an apocalyptic number.

137229947520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137229947520 is an abundant number, since it is smaller than the sum of its proper divisors (300190516320).

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

137229947520 is an equidigital number, since it uses as much as digits as its factorization.

137229947520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71473953 (or 71473941 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 137229947520 in words is "one hundred thirty-seven billion, two hundred twenty-nine million, nine hundred forty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 71473931 142947862 214421793 285895724 357369655 428843586 571791448 714739310 857687172 1072108965 1143582896 1429478620 1715374344 2144217930 2287165792 2858957240 3430748688 4288435860 4574331584 5717914480 6861497376 8576871720 9148663168 11435828960 13722994752 17153743440 22871657920 27445989504 34307486880 45743315840 68614973760 137229947520