| Base | Representation |
|---|---|
| bin | 1000000001100010100… |
| … | …0100111001110010000 |
| 3 | 111011211011100000211200 |
| 4 | 2000120220213032100 |
| 5 | 4224310134044242 |
| 6 | 143154540111200 |
| 7 | 12650051550312 |
| oct | 2003050471620 |
| 9 | 434734300750 |
| 10 | 137852253072 |
| 11 | 53510004086 |
| 12 | 22872535500 |
| 13 | cccb927421 |
| 14 | 695a2b37b2 |
| 15 | 38bc3c704c |
| hex | 2018a27390 |
137852253072 has 120 divisors (see below), whose sum is σ = 401548555200. Its totient is φ = 44093839104.
The previous prime is 137852253047. The next prime is 137852253073. The reversal of 137852253072 is 270352258731.
137852253072 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 522 + 53 + 0 + 72 = 666.
It is a super-4 number, since 4×1378522530724 (a number of 46 digits) contains 4444 as substring.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (137852253073) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 579429 + ... + 781947.
It is an arithmetic number, because the mean of its divisors is an integer number (3346237960).
Almost surely, 2137852253072 is an apocalyptic number.
137852253072 is a gapful number since it is divisible by the number (12) 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 137852253072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200774277600).
137852253072 is an abundant number, since it is smaller than the sum of its proper divisors (263696302128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137852253072 is a wasteful number, since it uses less digits than its factorization.
137852253072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 202725 (or 202716 counting only the distinct ones).
The product of its (nonzero) digits is 705600, while the sum is 45.
The spelling of 137852253072 in words is "one hundred thirty-seven billion, eight hundred fifty-two million, two hundred fifty-three thousand, seventy-two".
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