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137332513056 = 2531430547011
BaseRepresentation
bin111111111100110100…
…1111101100100100000
3111010110221100111120110
41333321221331210200
54222224110404211
6143031212211320
712631141046304
oct1777151754440
9433427314513
10137332513056
1153273694782
1222748469b40
13cc4805035b
14690b25dd04
15388b95eea6
hex1ff9a7d920

137332513056 has 24 divisors (see below), whose sum is σ = 360497847024. Its totient is φ = 45777504320.

The previous prime is 137332513051. The next prime is 137332513079. The reversal of 137332513056 is 650315233731.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (137332513051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 715273410 + ... + 715273601.

It is an arithmetic number, because the mean of its divisors is an integer number (15020743626).

Almost surely, 2137332513056 is an apocalyptic number.

137332513056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137332513056 is an abundant number, since it is smaller than the sum of its proper divisors (223165333968).

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

137332513056 is a wasteful number, since it uses less digits than its factorization.

137332513056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430547024 (or 1430547016 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 39.

Adding to 137332513056 its reverse (650315233731), we get a palindrome (787647746787).

The spelling of 137332513056 in words is "one hundred thirty-seven billion, three hundred thirty-two million, five hundred thirteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1430547011 2861094022 4291641033 5722188044 8583282066 11444376088 17166564132 22888752176 34333128264 45777504352 68666256528 137332513056