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133970144 = 2571154371
BaseRepresentation
bin1111111110000…
…11100011100000
3100100002101111012
413333003203200
5233244021034
621143240052
73214504340
oct777034340
9310071435
10133970144
1169693830
1238a49028
13219a8899
1413b14d20
15bb64cce
hex7fc38e0

133970144 has 48 divisors (see below), whose sum is σ = 328841856. Its totient is φ = 52195200.

The previous prime is 133970131. The next prime is 133970203. The reversal of 133970144 is 441079331.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 133970144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24722 + ... + 29649.

It is an arithmetic number, because the mean of its divisors is an integer number (6850872).

Almost surely, 2133970144 is an apocalyptic number.

133970144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

133970144 is an abundant number, since it is smaller than the sum of its proper divisors (194871712).

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

133970144 is a wasteful number, since it uses less digits than its factorization.

133970144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54399 (or 54391 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 133970144 is about 11574.5472481648. The cubic root of 133970144 is about 511.6849868889.

The spelling of 133970144 in words is "one hundred thirty-three million, nine hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 54371 108742 217484 380597 434968 598081 761194 869936 1196162 1522388 1739872 2392324 3044776 4186567 4784648 6089552 8373134 9569296 12179104 16746268 19138592 33492536 66985072 133970144