Base | Representation |
---|---|
bin | 111111110110110111… |
… | …0101111100111000000 |
3 | 111002221222212201221021 |
4 | 1333231232233213000 |
5 | 4221321401040000 |
6 | 142555304035224 |
7 | 12623161336033 |
oct | 1775556574700 |
9 | 432858781837 |
10 | 137132440000 |
11 | 53180761946 |
12 | 226b1462b14 |
13 | cc1576ba2a |
14 | 68cc85d01a |
15 | 38790de11a |
hex | 1fedbaf9c0 |
137132440000 has 140 divisors (see below), whose sum is σ = 354830780304. Its totient is φ = 52467712000.
The previous prime is 137132439949. The next prime is 137132440001. The reversal of 137132440000 is 44231731.
It is a super-2 number, since 2×1371324400002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (137132440001) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 845472 + ... + 994528.
Almost surely, 2137132440000 is an apocalyptic number.
137132440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 137132440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177415390152).
137132440000 is an abundant number, since it is smaller than the sum of its proper divisors (217698340304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137132440000 is an equidigital number, since it uses as much as digits as its factorization.
137132440000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 149112 (or 149087 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 25.
Adding to 137132440000 its reverse (44231731), we get a palindrome (137176671731).
The spelling of 137132440000 in words is "one hundred thirty-seven billion, one hundred thirty-two million, four hundred forty thousand".
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